© | Dror Bar-Natan: Academic Pensieve: | Random |
Recent prefixes: Kuno VanDerVeen KAL Martchenkov Afeke Boninger LiuJ LopezNeumann Lauda Bosch PoleDancing SantosK Dancso Boden MurakamiJ Ohtsuki
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Date-Time / Prefix | Comment |
What? A collection of Blackboard Shots (7496, right now, with 199 prefixes), mostly taken
in my office using a ceiling-mounted web camera.
Why? Mostly for my own use and for the use of the other people with whom I share blackboard space. And it is public because the easiest way to make something viewable to a number of people is to make it viewable to the whole world. Oh no! If you found your handwriting here and you don't like it, please let me know and the relevant shot(s) will be removed, no questions asked. How? A ceiling-mounted Logitech QuickCam Pro 9000 web camera is permanently pointed at my blackboard and connected via USB to this web server. The script bbs.php initiates a capture (using luvcview; hit "s" to shoot and "q" to quit), prompts for a file name prefix and a comment, and runs make. The makefile runs MakeDatabase.php (if necessary) to update the ShotDatabase.php. The latter file is used by index.php, which is this page, and also by show.php, used to display individual shots. The makefile also updates bbs.zip, which contains all the above mentioned scripts as well as common.php, showprefix.php, loadnew.php, random.php, the JavaScript actions.js, and the icon bbs.jpg. Finally, $\TeX$-like rendering uses MathJax (automatic on all pages but this one). Exceptions. Some shots are taken by other means and are added manually or using loadnew.php. |
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240715-142615 / Kuno | Coherence and relative coherence. | |
240715-142613 / Kuno | The Conway relation in ${\mathcal A}^w$. | |
240710-123633 / Kuno | A tentative map (2). | |
240710-123632 / Kuno | A tentative map. | |
240710-123631 / Kuno | $\eta$ and Fox. | |
240708-113647 / Kuno | w and em (2). | |
240708-113646 / Kuno | w and em. | |
240704-132341 / Kuno | MacLane Coherence. | |
240703-141832 / Kuno | Twisting associators. | |
240703-141831 / Kuno | A to do list (3). | |
240703-141830 / Kuno | A to do list (2). | |
240702-144939 / Kuno | A to do list. | |
240702-141927 / Kuno | What's the image of $\partial_y$? (2) | |
240702-141926 / Kuno | What's the image of $\partial_y$? | |
240701-130823 / Kuno | Homological degree by degree constructions (10). | |
240701-100325 / Kuno | Homological degree by degree constructions (9). | |
240701-095446 / Kuno | Homological degree by degree constructions (8). | |
240701-094225 / Kuno | Homological degree by degree constructions (7). | |
240701-093248 / Kuno | Homological degree by degree constructions (6). | |
240701-092705 / Kuno | Homological degree by degree constructions (5). | |
240701-092003 / Kuno | Homological degree by degree constructions (4). | |
240628-141753 / Kuno | Homological degree by degree constructions (3). | |
240625-134442 / Kuno | Homological degree by degree constructions (2). | |
240625-134441 / Kuno | Homological degree by degree constructions. | |
240625-134440 / Kuno | June 2024 visit agenda (4). | |
240624-110544 / Kuno | June 2024 visit agenda (3). | |
240624-110543 / Kuno | June 2024 visit agenda (2). | |
240624-110542 / Kuno | June 2024 visit agenda. | |
240614-074935 / VanDerVeen | A $\theta$ with 6-fold symmetry. | |
240522-093029 / VanDerVeen | Possible extra $sl_3$ contributions. | |
240506-102835 / VanDerVeen | Integration is nilpotent! | |
240503-051813 / Kuno | A $y$-centric view (2). | |
Date-Time / Prefix | Comment | |
240503-051812 / Kuno | A $y$-centric view. | |
240501-124819 / VanDerVeen | Integration: The proper input format (3). | |
240501-124818 / VanDerVeen | Integration: The proper input format (2). | |
240501-124817 / VanDerVeen | Integration: The proper input format. | |
240411-134911 / KAL | Polynomials (2). | |
240411-134909 / KAL | Polynomials. | |
240411-110151 / Martchenkov | Comparing upper and lower Wirtinger. | |
240411-104531 / Afeke | Unitarity for tangles (11). | |
240326-140007 / Boninger | The Alexander skein relation from the Wirtinger matrix (5). | |
240326-140006 / Boninger | The Alexander skein relation from the Wirtinger matrix (4). | |
240326-140005 / Boninger | The Alexander skein relation from the Wirtinger matrix (3). | |
240326-140004 / Boninger | The Alexander skein relation from the Wirtinger matrix (2). | |
240326-140003 / Boninger | The Alexander skein relation from the Wirtinger matrix. | |
240319-132314 / Martchenkov | Comparing Wirtinger and Dehn. | |
240319-112216 / KAL | Permanents and determinants (2). | |
240318-135220 / KAL | Permanents and determinants. | |
240318-132300 / KAL | Categorification. | |
240313-110243 / LiuJ | The Alexander module. | |
240312-131731 / Martchenkov | Back to equivalence of presentations. | |
240311-145242 / KAL | Kauffman states and their signs (3). | |
240311-132654 / KAL | Kauffman states and their signs (2). | |
240304-140228 / KAL | Kauffman states and their signs. | |
240304-132720 / KAL | Signs of incomplete permutations. | |
240228-102230 / LiuJ | Planar algebras and morphisms between them. | |
240226-151054 / Martchenkov | The extra row. | |
240226-115654 / Afeke | Unitarity for tangles (10). | |
240216-162057 / VanDerVeen | More on bottom tangles and braided Hopf algebras (3). | |
240216-100055 / VanDerVeen | More on bottom tangles and braided Hopf algebras (2). | |
240212-185211 / VanDerVeen | More on bottom tangles and braided Hopf algebras. | |
240212-141009 / VanDerVeen | KaL talk on Burau, Bottom Tangles, and Braided Hopf Algebras (5). | |
240212-132826 / VanDerVeen | KaL talk on Burau, Bottom Tangles, and Braided Hopf Algebras (4). | |
240212-131639 / VanDerVeen | KaL talk on Burau, Bottom Tangles, and Braided Hopf Algebras (3). | |
Date-Time / Prefix | Comment | |
240212-130828 / VanDerVeen | KaL talk on Burau, Bottom Tangles, and Braided Hopf Algebras (2). | |
240212-124747 / VanDerVeen | KaL talk on Burau, Bottom Tangles, and Braided Hopf Algebras. | |
240209-155037 / LopezNeumann | Kuperberg, Fox, torsion (2). | |
240209-155036 / LopezNeumann | Kuperberg, Fox, torsion. | |
240207-144246 / Lauda | Virtual braids and Burau. | |
240202-112547 / Afeke | Unitarity for tangles (9). | |
240131-110450 / LiuJ | The Blanchfield pairing. | |
240124-115045 / Martchenkov | The fundamental forms of planar curves (2). | |
240124-110022 / Afeke | Unitarity for tangles (8). | |
240117-154443 / Martchenkov | The fundamental forms of planar curves. | |
240117-113209 / Afeke | Unitarity for tangles (7). | |
240117-110453 / LiuJ | Gaussian integrals and signatures. | |
240117-103736 / LiuJ | Pushing and pulling (4). | |
240112-113439 / Afeke | Unitarity for tangles (6). | |
240110-111619 / LiuJ | Pushing and pulling (3). | |
240110-102345 / LiuJ | Pushing and pulling (2). | |
231219-105334 / VanDerVeen | Palindromicity in Gaussian language. | |
231214-100703 / Bosch | Cluster algebras and quantum groups (3). | |
231214-100702 / Bosch | Cluster algebras and quantum groups (2). | |
231214-100701 / Bosch | Cluster algebras and quantum groups. | |
231211-111851 / VanDerVeen | Bridges and tunnels and Alexander numbering. | |
231211-080441 / VanDerVeen | The $T\to T^{-1}$ sequence. | |
231206-093134 / VanDerVeen | Elementary ideals. | |
231129-110338 / LiuJ | Pushing and pulling. | |
231126-081631 / LiuJ | Measured Partial Quadratics (3). | |
231125-080639 / PoleDancing | Framings and rotation numbers (5). | |
231125-080638 / PoleDancing | Framings and rotation numbers (4). | |
231125-080637 / PoleDancing | Framings and rotation numbers (3). | |
231122-085829 / PoleDancing | Framings and rotation numbers (2). | |
231122-085828 / PoleDancing | Framings and rotation numbers. | |
231121-085940 / PoleDancing | Framings and rotation numbers, the injectivity of $\hat{\hbar}$. | |
231120-112908 / PoleDancing | Don't look up! | |
Date-Time / Prefix | Comment | |
231120-072845 / PoleDancing | $\delta$ is homomorphic. | |
231116-121510 / LiuJ | Measured Partial Quadratics (2). | |
231116-121509 / LiuJ | Measured Partial Quadratics. | |
231109-152459 / Martchenkov | More on $H_1(\tilde{X})$ (2). | |
231109-140021 / SantosK | The tangle definition of ribbon knots. | |
231106-143156 / Afeke | Unitarity for tangles (5). | |
231102-145504 / Martchenkov | More on $H_1(\tilde{X})$. | |
231027-150108 / SantosK | The Whirl. | |
231027-143119 / SantosK | Why does the decomposition into conjugacy classes work? | |
231025-144256 / Martchenkov | $H_1(\tilde{X})$ and $H_1(\tilde{X},\tilde{p})$. | |
231020-153136 / SantosK | Meta-monoids. | |
231020-132732 / Afeke | Unitarity for tangles (4). | |
231020-132003 / Afeke | Unitarity for tangles (3). | |
231017-092051 / Dancso | WKO2, again. | |
231013-162922 / Boden | Concordance for virtual and flat knots (4). | |
231013-153236 / Boden | Concordance for virtual and flat knots (3). | |
231013-143935 / Boden | Concordance for virtual and flat knots (2). | |
231013-143157 / Boden | Concordance for virtual and flat knots. | |
231013-135125 / SantosK | Hopf algebras and tangles. | |
231011-161249 / Martchenkov | The relation between the upper and the lower Wirtinger presentations. | |
231010-090000 / SantosK | Planar algebras. | |
231006-111847 / Afeke | Unitarity for tangles (2). | |
231005-145332 / Martchenkov | The Abelianization of Dehn. | |
230928-155052 / SantosK | PD notation and the Kauffman bracket. | |
230926-112555 / Afeke | Unitarity for tangles. | |
230919-171324 / Martchenkov | Invariance of Alexander formulas. | |
230912-082515 / Kuno | Implementation conventions for emergent chord diagrams (4). | |
230911-234827 / Kuno | Implementation conventions for emergent chord diagrams (3). | |
230905-020605 / Kuno | Implementation conventions for emergent chord diagrams (2). | |
230905-020604 / Kuno | Implementation conventions for emergent chord diagrams. | |
230901-020900 / MurakamiJ | II and the Alexander polynomial. | |
230827-221831 / MurakamiJ | u and v. | |
Date-Time / Prefix | Comment | |
230815-214240 / Kuno | Equations for expansions for emergent knots (4). | |
230815-013822 / Kuno | Equations for expansions for emergent knots (3). | |
230815-013821 / Kuno | Equations for expansions for emergent knots (2). | |
230815-013820 / Kuno | Equations for expansions for emergent knots. | |
230809-022851 / Kuno | The basics of finite type invariants (2). | |
230809-022850 / Kuno | The basics of finite type invariants. | |
230809-022849 / Kuno | The Masseyeau operation $\mu$. | |
230731-014244 / Ohtsuki | Equivariant linking numbers (2). | |
230731-014243 / Ohtsuki | Equivariant linking numbers. | |
230728-031606 / Dancso | Orientation conventions. | |
230719-041411 / Kuno | Attempts to generalize the Goldman-Turaev story (5). | |
230719-041410 / Kuno | Attempts to generalize the Goldman-Turaev story (4). | |
230719-041409 / Kuno | Attempts to generalize the Goldman-Turaev story (3). | |
230719-041408 / Kuno | Attempts to generalize the Goldman-Turaev story (2). | |
230719-041407 / Kuno | Attempts to generalize the Goldman-Turaev story. | |
230719-041406 / Kuno | Issues with WKO2. | |
230718-031413 / Dror | Delusions regarding KV and emergent knots (2). | |
230718-031412 / Dror | Delusions regarding KV and emergent knots. | |
230718-031411 / Hogan | Goldman-Turaev and Emergent Knots. | |
230717-221047 / Kuno | KV1 and the Goldman bracket. | |
230717-221046 / Kuno | Assembling KV solutions to higher genus KV solutions. | |
230713-053139 / Suzuki | The Heisenberg Double and triangulations (8). | |
230713-053138 / Suzuki | The Heisenberg Double and triangulations (7). | |
230713-053137 / Suzuki | The Heisenberg Double and triangulations (6). | |
230713-053136 / Suzuki | The Heisenberg Double and triangulations (5). | |
230712-011421 / Kuno | Discussing the AKKN paper (10). | |
230711-225954 / Kuno | Discussing the AKKN paper (9). | |
230711-225953 / Kuno | Discussing the AKKN paper (8). | |
230711-040216 / VanDerVeen | Twisted doubles (2). | |
230710-031833 / Kuno | Discussing the AKKN paper (7). | |
230710-031832 / Kuno | Discussing the AKKN paper (6). | |
230710-031831 / Kuno | Discussing the AKKN paper (5). | |
Date-Time / Prefix | Comment | |
230705-054228 / Kuno | Discussing the AKKN paper (4). | |
230705-054227 / Kuno | Discussing the AKKN paper (3). | |
230705-054226 / Kuno | Discussing the AKKN paper (2). | |
230705-054225 / Kuno | Discussing the AKKN paper. | |
230702-033714 / Suzuki | The Heisenberg Double and triangulations (4). | |
230702-033713 / Suzuki | The Heisenberg Double and triangulations (3). | |
230702-033712 / Suzuki | The Heisenberg Double and triangulations (2). | |
230702-033711 / Suzuki | The Heisenberg Double and triangulations. | |
230626-134257 / Miyazawa | Problems with R4 for w-objects. | |
230604-131414 / Murphy | Lie algebras and the 4CT. | |
230604-131413 / Murphy | $(q+1)$-colourings. | |
230601-123143 / Martchenkov | The Dehn presentation and the Alexander polynomial (2). | |
230426-114235 / LiuJ | PQ Conventions (10). | |
230425-142328 / Martchenkov | The Dehn presentation and the Alexander polynomial. | |
230424-162957 / LiuJ | PQ Conventions (9). | |
230421-134216 / LiuJ | PQ Conventions (8). | |
230420-120115 / LiuJ | PQ Conventions (7). | |
230417-150539 / LiuJ | PQ Conventions (6). | |
230414-114006 / LiuJ | PQ Conventions (5). | |
230414-093729 / LiuJ | PQ Conventions (4). | |
230412-120656 / LiuJ | PQ Conventions (3). | |
230411-112031 / LiuJ | PQ Conventions (2). | |
230406-032007 / Dancso | The 2-pole 2-strand pentagon. | |
230404-021929 / Dancso | Where the hell is div? | |
230402-224734 / Hogan | Solving for $\Phi$. | |
230330-010211 / Dancso | Thoughts on emergent tangles (2). | |
230330-010210 / Dancso | Thoughts on emergent tangles. | |
230329-010028 / Hogan | Computational techniques (2). | |
230329-010027 / Hogan | Computational techniques. | |
230329-005716 / Hogan | A summary of AKKN (3). | |
230316-004025 / Dancso | Thoughts on emergent knots. | |
230309-191604 / Hogan | A summary of AKKN (2). | |
Date-Time / Prefix | Comment | |
230309-191603 / Hogan | A summary of AKKN. | |
230301-170218 / LiuJ | PQ Conventions. | |
230228-172204 / Dror | Equivariant linking numbers (2). | |
230228-142644 / Dror | Equivariant linking numbers. | |
230223-125050 / Martchenkov | Matrices and quadratics. | |
230211-100908 / VanDerVeen | Twisted doubles. | |
230206-092653 / VanDerVeen | Reidemeister torsion (2). | |
230203-072344 / VanDerVeen | Reidemeister torsion. | |
230116-080757 / Bosch | Palindromicity (2). | |
230116-080756 / Bosch | Palindromicity. | |
221214-121653 / Afeke | The homology reduced Gassner representation. | |
221214-115337 / Dror | The Gauss diagram formula for $v_2$ is invariant. | |
221213-100013 / Fiedler | Is $V(K\setminus c)$ finite type? (4) | |
221213-094244 / Fiedler | Is $V(K\setminus c)$ finite type? (3) | |
221213-093927 / Fiedler | Is $V(K\setminus c)$ finite type? (2) | |
221213-093920 / Fiedler | Is $V(K\setminus c)$ finite type? | |
221212-165324 / VanDerVeen | Fiedler invariants. | |
221212-121021 / LiuJ | December 2022 marathon (2). | |
221212-112410 / LiuJ | December 2022 marathon. | |
221209-145832 / KAL | Non commutative Gaussian elimination for $S_3$ (2). | |
221207-131543 / Afeke | Intersection numbers in twisted homology (9). | |
221207-124214 / Frohlich | Long rotational virtual knots. | |
221206-140104 / LiuJ | Partial signatures (14). | |
221206-135447 / LiuJ | Partial signatures (13). | |
221202-152320 / KAL | Non commutative Gaussian elimination for $S_3$. | |
221202-150244 / KAL | Gaussian elimination done right. | |
221130-124607 / LiuJ | Partial signatures (12). | |
221130-123024 / Frohlich | Fixing framings. | |
221129-132630 / Fiedler | Polynomial invariants which can distinguish the orientations of knots (7). | |
221129-132625 / Fiedler | Polynomial invariants which can distinguish the orientations of knots (6). | |
221129-132620 / Fiedler | Polynomial invariants which can distinguish the orientations of knots (5). | |
221129-132615 / Fiedler | Polynomial invariants which can distinguish the orientations of knots (4). | |
Date-Time / Prefix | Comment | |
221129-132609 / Fiedler | Polynomial invariants which can distinguish the orientations of knots (3). | |
221129-132605 / Fiedler | Polynomial invariants which can distinguish the orientations of knots (2). | |
221129-132600 / Fiedler | Polynomial invariants which can distinguish the orientations of knots. | |
221128-125305 / Afeke | Intersection numbers in twisted homology (8). | |
221123-131443 / LiuJ | Partial signatures (11). | |
221123-130442 / LiuJ | Partial signatures (10). | |
221123-124953 / LiuJ | Partial signatures (9). | |
221121-125616 / Afeke | Intersection numbers in twisted homology (7). | |
221118-081503 / Afeke | Intersection numbers in twisted homology (6). | |
221109-115137 / Afeke | Intersection numbers in twisted homology (5). | |
221107-115534 / Afeke | Intersection numbers in twisted homology (4). | |
221031-132935 / Afeke | Intersection numbers in twisted homology (3). | |
221031-132930 / Afeke | Intersection numbers in twisted homology (2). | |
221031-132915 / Afeke | Intersection numbers in twisted homology. | |
221028-110613 / Boyle | Finite type invariants of SNACKs (2). | |
221028-110604 / Boyle | Finite type invariants of SNACKs. | |
221021-125136 / KAL | The reduction lemma. | |
221021-122313 / KAL | Homotopies (2). | |
221020-121604 / Jiang | PVB, VB, B, PB. | |
221019-115945 / Afeke | $\Gamma$-calculus (8). | |
221019-113952 / Afeke | $\Gamma$-calculus (7). | |
221014-103631 / Munasinghe | Type B Schur Algebras (5). | |
221014-101429 / Munasinghe | Type B Schur Algebras (4). | |
221014-100250 / Munasinghe | Type B Schur Algebras (3). | |
221014-093556 / Munasinghe | Type B Schur Algebras (2). | |
221014-091646 / Munasinghe | Type B Schur Algebras. | |
221005-124423 / LiuJ | Partial signatures (8). | |
221003-131518 / Afeke | $\Gamma$-calculus (6). | |
221003-125053 / Afeke | $\Gamma$-calculus (5). | |
220930-130635 / KAL | Homotopies. | |
220929-132009 / Afeke | $\Gamma$-calculus (4). | |
220923-130803 / KAL | Frobenius Algebras and TQFTs. |
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