© | Dror Bar-Natan: Academic Pensieve: Blackboard Shots: Dancso:
140616-150546: Never-ending analysis of the buckle.
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  231017-092051: WKO2, again.
  230728-031606: Orientation conventions.
  230406-032007: The 2-pole 2-strand pentagon.
  230404-021929: Where the hell is div?
  230330-010211: Thoughts on emergent tangles (2).
  230330-010210: Thoughts on emergent tangles.
  230316-004025: Thoughts on emergent knots.
  200610-091024: A new(?) approach for solving KV degree by degree.
  200603-084840: Expansions for acyclic tangles (3).
  200603-084839: Expansions for acyclic tangles (2).
  200529-063354: Expansions for acyclic tangles.
  200428-210337: The injectivity of $\bar{\Gamma}$ and the Diamond Lemma (2).
  200428-210336: The injectivity of $\bar{\Gamma}$ and the Diamond Lemma.
  200313-012826: am, bm, swab; surgeries.
  200312-002719: OU and lazy loops.
  200306-002621: OU and Enriquez.
  200302-222448: Degree by degree twisting.
  200302-015418: The Enriquez universal space.
  191011-011920: WKO3 Lemma 3.3.
  191010-020409: Free Lie, Aw, and TAut.
  191003-084912: Yetter-Drinfel'd modules.
  191003-012025: A placement language.
  190923-015121: Pulmann-Severa tasks.
  190920-011431: Recovering h-w-knots from their groups (2).
  190920-011430: Recovering h-w-knots from their groups.
  190918-044554: Embedding Lie algebras in Heisenberg algebras (2).
  190918-044553: Embedding Lie algebras in Heisenberg algebras.
  190911-223324: A braid group action on universal enveloping algebras.
  190910-021257: Lie bialgebras and poisson Hopf algebras (5).
  190905-002823: Lie bialgebras and poisson Hopf algebras (4).
  190905-002822: Lie bialgebras and poisson Hopf algebras (3).
  190904-184511: Lie bialgebras and poisson Hopf algebras (2).
  190903-024444: Lie bialgebras and poisson Hopf algebras.
  190725-084209: $gl(N)$ surfaces and Goldman-Turaev.
  190724-121649: Lie bialgebras and Severa quantization (2).
  190724-121648: Lie bialgebras and Severa quantization.
  190704-091435: Expansions in the context of completions (2).
  190704-091434: Expansions in the context of completions.
  181119-182932: Pictures.
  181017-184441: Many Seifert surfaces.
  181015-193604: Section 4.3.
  181015-191302: Proposition 4.3.
  181015-190343: Proposition 4.2.
  181009-191650: SO(3).
  181008-201758: Heizenberg
  181008-194112: Co-invariance in 2D.
  181004-214310: BCH in 2D.
  181004-202808: Tangential differential operators.
  180917-215534: Div (3).
  180917-214440: Div (2).
  180917-212201: Div.
  180721-123133: sder and palindromic Lie words.
  180721-103327: Fubini for Lie algebras.
  180720-131154: An algebra of cyclic words.
  180719-170827: $\beta$ and the pentagon (7).
  180719-161615: $\beta$ and the pentagon (6).
  180719-145133: $\beta$ and the pentagon (5).
  180719-110422: $\beta$ and the pentagon (4).
  180719-103606: $\beta$ and the pentagon (3).
  180719-101344: $\beta$ and the pentagon (2).
  180718-183237: $\beta$ and the pentagon.
  180717-173231: Back to double brackets (2).
  180717-134234: Back to double brackets.
  180717-112100: We don't need double-double-tree!
  180717-101137: $\mu=1$.
  180713-150522: Znu (4).
  180713-092556: The action $S_{n+1}$ on ${\mathcal A}_n$.
  180711-205032: Znu (3).
  180711-205031: Znu (2).
  180711-205030: Znu.
  180411-193702: Invariance.
  170823-020243: Reading Alekseev-Naef's Goldman-Turaev from KZ.
  170822-010634: Skein modules, surfaces, and a conjectural explanation of AKKN (2).
  170820-232145: Skein modules, surfaces, and a conjectural explanation of AKKN.
  170820-232144: A conjectural explanation of AKKN (2).
  170818-040004: A conjectural explanation of AKKN.
  170817-201037: Surfaces and $gl_N$ (4).
  170815-222253: Surfaces and $gl_N$ (3).
  170815-222252: Surfaces and $gl_N$ (2).
  170815-222251: Surfaces and $gl_N$.
  170815-004155: Double-brackets (4).
  170814-003731: Double-brackets (3).
  170809-221303: Double-brackets (2).
  170809-221302: Double-brackets.
  170809-015655: Listening to Alekseev at MSRI (3).
  170807-232520: Listening to Alekseev at MSRI (2).
  170807-020620: Listening to Alekseev at MSRI.
  170702-155007: WKO3 issues.
  170529-162849: Rote's algorithm for determinants (3).
  170529-162220: Rote's algorithm for determinants (2).
  170529-141410: Rote's algorithm for determinants.
  170222-202122: Swiping tails.
  170106-115150: Gasket compositions.
  170106-112559: The map ${\mathcal A}^w_g\to gr{\mathcal K}^w_g$.
  170105-141938: A map ${\mathcal A}^v\to{\mathcal A}^{pq}$.
  170105-100835: $1+1=2$ mysteries with $u\to w$.
  170105-094939: Low algebra in genus $g$ (3).
  170105-094433: Low algebra in genus $g$ (2).
  170105-093719: Low algebra in genus $g$.
  170104-152331: A tentative ${\mathcal A}^w_g$ theorem.
  170104-150649: Elliptic braids.
  170104-135319: Surgeries and pacifiers (3).
  170104-104648: Surgeries and pacifiers (2).
  170103-173628: Surgeries and pacifiers.
  170103-142352: $1+1=2$ in w (2).
  170102-160853: $1+1=2$ in w.
  161117-193649: Stitching and double-tree (4).
  161117-185808: Stitching and double-tree (3).
  161114-180014: Stitching and double-tree (2).
  161111-112022: Stitching and double-tree.
  161012-183654: Sketch of a talk.
  160621-200834: The AET hexagon.
  160322-185423: The Chern-Simons yoga.
  150710-042039: Triality (2).
  150710-042038: Triality.
  150709-213436: Hopf pairs, pacifiers, and gaskets (2).
  150709-213435: Hopf pairs, pacifiers, and gaskets.
  150708-220656: Recovering the AET formulas (3).
  150708-220655: Recovering the AET formulas (2).
  150708-220654: Recovering the AET formulas.
  150630-005405: For good buckles, unitarity implies cap.
  150629-235349: There's always a cap.
  150528-153709: A sketch of a WKO3 talk (2).
  150528-151303: A sketch of a WKO3 talk.
  141120-173853: The map $v{\mathcal K}_n\to w{\mathcal K}_{n+1}$.
  140626-145617: Finish the paper in 7 easy steps.
  140626-140034: A probably-failing attempt at a TOE.
  140620-115206: A proposal for the writeup of the easy part of the proof of the main theorem of WKO3 (2).
  140618-145947: A proposal for the writeup of the easy part of the proof of the main theorem of WKO3.
  140618-140912: Never-ending analysis of the buckle (2).
  140616-150546: Never-ending analysis of the buckle.
  140604-150724: Multi-tethered balloons (2).
  140604-111013: Multi-tethered balloons.
  140602-161047: We're still confused about the value of the cap.
  140422-154408: The small mismatches between $Z^u$ and $Z^w$.
  140324-203432: The vanishing vertex (2).
  140212-170951: The vanishing vertex.
  140210-155011: Framings and swaddling maps.
  140124-175113: Flow lattices and Voronoi cells.
  131124-065730: Conversation with Alekseev.
  131122-093454: Comparing double-tree and double-double-tree.
  131121-110334: A sketch of a paper (3).
  131121-110333: A sketch of a paper (2).
  131121-110332: A sketch of a paper.
  131121-110331: Geneva work on double-tree (6).
  131120-105731: Geneva work on double-tree (5).
  131120-101926: Geneva work on double-tree (4).
  131120-101925: Geneva work on double-tree (3).
  131120-101924: Geneva work on double-tree (2).
  131120-101923: Geneva work on double-tree.
  131115-171248: Double-double-tree of a single strand.
  131113-165415: Double-tree as encoding-decoding.
  131111-163047: Comparing u and w.
  131111-162029: 1+1=2 and Duflo in u.
  131111-160948: 1+1=2 and Duflo in w.
  131111-154222: 1+1=2 in u and in w.
  131018-135240: The full algebraic structure.
  131016-115506: Introduction to double tree.
  130911-095033: Unizipping a Wen.
  130719-105400: Modding out by the 1-wheel (2).
  130715-121611: Modding out by the 1-wheel.
  130709-154514: Framing 2-knots (2).
  130709-121630: Framing 2-knots.
  130619-114426: Proving caps at $\mathcal A$-level (2).
  130619-113423: Proving caps at $\mathcal A$-level.
  130611-114255: Virtual knots on virtual surfaces.
  130502-131632: A plan for a talk.
  130501-115103: Caps, wens, nooses.
  130501-103116: $S$, $A$, $\alpha$.
  130430-122832: Parity issues with $V$.
  130419-130012: The norm-squared in general.
  130418-171106: The wheels part of $\alpha(\Phi)=V^4$.
  130412-164622: The wheels part of the twist equation (2).
  130410-162604: The wheels part of the twist equation.
  130410-154601: The wheels in $\Phi$.
  130403-122958: Unstucking.
  130403-121022: The true meaning of wens.
  130325-165719: Two $a$ maps.
  130320-123319: Caps and nooses.
  130304-164331: ${\mathcal A}^w$ of a tadpole.
  130301-154738: The problem with nooses and balloons.
  130212-105257: Finite generation via insertions.
  121214-144751: The noose.
  121212-110523: An alternative BCH recursion.
  121206-171419: The u-w commutativity.
  121114-115431: The Wen is not trivial! (2)
  121102-161334: The Wen is not trivial!
  120921-125304: $\sqrt{2}$ is irrational.
  120727-112815: Fixing the normalizations, take 2 - conclusion.
  120727-104008: Fixing the normalizations, take 2 (2).
  120727-102841: Fixing the normalizations, take 2.
  120726-120444: The double-double-tree construction for a single empty strand (2).
  120726-114708: The double-double-tree construction for a single empty strand.
  120726-110646: The double-double-tree construction in detail.
  120726-104030: Construction notes.
  120726-100355: An algorithm for fixing the normalizations.
  120725-114940: The double double tree construction (2).
  120724-151355: The double double tree construction.
  120724-104920: The plunger vertex.
  120723-125206: The two $u\to w$ maps.
  120621-115752: Which normalization is best?
  120619-120549: Notes of a Skype meeting.
  120525-153201: $V$ from $\Phi$ (2).
  120525-145853: $V$ from $\Phi$.
  120524-111015: Everything we know and some things we don't know (4).
  120523-170800: Everything we know and some things we don't know (3).
  120523-105456: Everything we know and some things we don't know (2).
  120522-114502: Everything we know and some things we don't know.
  120518-104755: The four kinds of w-crossings.
  120510-110348: The u->w map, hopefully nearly done.
  120504-112259: Zippers and velcros.
  120501-115641: R4 and TwistEq, new conventions.
  120430-110839: $\Phi$ and $\nu$.
  120424-113314: The overhand equation and V.
  120423-165845: Vertical unitarity and the overhand trick.
  120419-113205: Clarifying conventions.
  120402-111436: Do we care about even associators?
  120326-115017: Scratch (5).
  120312-091702: Scratch (4).
  120305-120403: Scratch (3).
  120305-111821: Scratch (2).
  120302-170234: Scratch.
  120217-153120: Coinvariants in meta-groups.
  120215-173046: $tm$ and $t\Delta$.
  120211-171250: Meta-groups, meta-cross-products, and the Alexander polynomial (7).
  120211-143958: Meta-groups, meta-cross-products, and the Alexander polynomial (6).
  120211-143924: Meta-groups, meta-cross-products, and the Alexander polynomial (5).
  120211-134316: Meta-groups, meta-cross-products, and the Alexander polynomial (4).
  120211-134259: Meta-groups, meta-cross-products, and the Alexander polynomial (3).
  120211-130018: Meta-groups, meta-cross-products, and the Alexander polynomial (2).
  120211-125954: Meta-groups, meta-cross-products, and the Alexander polynomial.
  120206-120302: beta calculus.
  120123-173317: Uniqueness of Zw for w-tangles (5).
  120120-112049: Uniqueness of Zw for w-tangles (4).
  120120-110235: Uniqueness of Zw for w-tangles (3).
  120118-112040: Uniqueness of Zw for w-tangles (2).
  120116-120033: Uniqueness of Zw for w-tangles.
  120109-122800: beta spaces (2).
  120109-114813: beta spaces.
  120109-113018: Formal Drinfel'd doubles.
  120109-105801: Semi-symmetrized calculus.
  120109-104211: Tree connect sums.
  111128-111843: Double tree and contractions (2).
  111128-110026: Double tree and contractions.
  111124-174238: $\zeta$ of an empty strand.
  111123-174407: Orientations of the w-vertex.
  111123-165516: Alexander for u and w.
  111121-123109: Some annoying w-relations.
  111116-173128: The double tree construction (3).
  111114-153410: The double tree construction (2).
  111112-171439: The double tree construction.
  111112-141607: Blue-red in R^4.
  111112-132358: Cap-trivial associators.
  111111-114559: Cap-trivial associators and visit agenda.
  111107-115214: Section 6: w-Tangled Foams.
  111107-110229: Ribbon as a variant of slice.
  111031-111139: The relationship with u-tangles (2).
  111031-110720: The relationship with u-tangles.
  111031-105750: Notes on section 5.2.
  111024-154826: More on the image of \alpha (3).
  111024-152805: More on the image of \alpha (2).
  111024-150723: More on the image of \alpha.
  111024-143714: A more general definition of J.
  111018-152417: The image of \alpha.
  111017-121003: The w equations and the AT equations.
  111017-115526: The adjoint on A^w, j and div.
  111017-110349: A question on 2-singular nearly-trivial KTGs.
  111013-120748: The u-Knots - w-Knots square.
  111012-180307: Strange actions in degree 2 (4).
  111012-173112: Strange actions in degree 2 (3).
  111010-111029: Strange actions in degree 2 (2).
  111010-105115: Strange actions in degree 2.
  111003-145719: WKO: The Relashionship with u-Braids (2).
  110916-160445: WKO: The Relashionship with u-Braids.
  110913-171108: Unitarity of Phi (2).
  110908-164328: Unitarity of Phi.
  110906-171504: Switching the intrinsic orientation of a KTG.
  110902-143041: The Hexagon.
  110829-165502: Framing in uK and in wK (3).
  110826-152259: Framing in uK and in wK (2).
  110825-135435: Framing in uK and in wK.
  110822-175058: The messy topology of w.
  110810-123017: Convergence.
  110803-144001: On Thang's comments.
  110729-153715: j.
  110729-144401: The definition of TAut.
  110706-153259: The w-div is equal to the AT-div.
  110617-114520: P_n, tr_n, a_n, and tder_n (2).
  110617-112909: P_n, tr_n, a_n, and tder_n.
  110406-164237: The one parameter family of Z's.
  110302-123511: A free-group notation for $\mathcal A$-operations (2).
  110302-122234: A free-group notation for $\mathcal A$-operations.
  110218-161512: The minor associator relations.
  101108-114235: Dotted homework.
  101026-160151: The LMMO normalization of Z (3).
  101022-134800: The LMMO normalization of Z (2).
  101015-134313: The LMMO normalization of Z.
  100920-131109: Unorienting KTGs.
  100906-113013: A KTG theory around tree-connect-sums (4).
  100906-112942: A KTG theory around tree-connect-sums (3).
  100906-094953: A KTG theory around tree-connect-sums (2).
  100906-094932: A KTG theory around tree-connect-sums.
  100826-114406: The utility of having units and the proof of 6T from R3.
  100819-110917: gr(Q) maps to proj(Q).
  100813-121613: The lower central series for quandles.
  100805-122915: The lower central series and commutator identities.
  100805-120256: Based KTGs are (not yet) finitely generated.
  100805-114758: Drinfel'd twists and homomorphic expansions.
  100727-114528: More homomorphic KTG dead-ends.
  100514-140300: The S_4 action on A_4.
  100514-121445: Dotted KTGs.
  100512-123448: The GRT part of the Furusho argument.
  100512-115142: The 5-cycle implies the 2-cycle and the 3-cycle in A4.
  100510-123725: The degree 1 group theory of B_5.
  100507-181057: 5 cycle implies 3 cycle.
  100506-111351: B_4 maps to B_3.
  100505-150541: Back to Furusho (2).
  100505-141825: Back to Furusho.
  100414-133807: Expansions for the tower of braid groups.
  100401-155014: No cure for u and d?
  100401-152807: Unzips in PaT and in KTG.
  100324-145730: Fixing u and breaking d and # (4).
  100310-155929: Fixing u and breaking d and # (3).
  100222-133838: Fixing u and breaking d and # (2).
  100204-155324: Fixing u and breaking d and #.
  100120-155304: Either d or u must be off.
  091130-120540: The planar algebra structure on shielded tangles.
  091123-120120: GT and GRT, in general.
  091109-164753: The finite type story for free virtuals.
  091109-161537: Idle thoughts.
  091005-110024: Fixing the unzip move for KTGs (2).
  090925-130741: Fixing the unzip move for KTGs.
  090708-140138: Cyclic braids and the Garside element (3).
  090708-124839: Cyclic braids and the Garside element (2).
  090429-124850: Cyclic braids and the Garside element.
  090422-122853: More Furusho (2).
  090331-124849: More Furusho.
  090324-135652: Furusho, again.
  090317-125124: ax+b computations.
  090303-115640: Red arrows in a curved background (2).
  090210-121950: Red arrows in a curved background.
  090119-142943: Questions in the ax+b quotient.
  081202-144724: Reading Furusho.
  081125-145159: vAKT, wAKT, zAKT.
  081105-134552: Commutators commute.
  081021-124812: Towards Z_3 (2).
  081021-121825: Towards Z_3.
  080923-151537: The equivalence of ears.
  080916-151111: Some arguments by LMMO.
  080909-142654: The extra vanishing property of associators.
  080826-163101: Problems with fixing the KI for trivalent graphs (2).
  080612-142403: Problems with fixing the KI for trivalent graphs.
  080204-153848: Non-uniqueness of associators and KTG invariants.
  080128-152738: 3-pt renormalization of the Kontsevich integral.
  070117-101500: 16 definitions of the Alexander polynomial.
}
Notes for BBS/Dancso-140616-150546.jpg:    [edit]