© | Dror Bar-Natan: Academic Pensieve: Blackboard Shots: Random

Blackboard Shots with Prefix "VanDerVeen"


240614-074935: A $\theta$ with 6-fold symmetry.

240522-093029: Possible extra $sl_3$ contributions.

240506-102835: Integration is nilpotent!

240501-124819: Integration: The proper input format (3).

240501-124818: Integration: The proper input format (2).

240501-124817: Integration: The proper input format.

240216-162057: More on bottom tangles and braided Hopf algebras (3).

240216-100055: More on bottom tangles and braided Hopf algebras (2).

240212-185211: More on bottom tangles and braided Hopf algebras.

240212-141009: KaL talk on Burau, Bottom Tangles, and Braided Hopf Algebras (5).

240212-132826: KaL talk on Burau, Bottom Tangles, and Braided Hopf Algebras (4).

240212-131639: KaL talk on Burau, Bottom Tangles, and Braided Hopf Algebras (3).

240212-130828: KaL talk on Burau, Bottom Tangles, and Braided Hopf Algebras (2).

240212-124747: KaL talk on Burau, Bottom Tangles, and Braided Hopf Algebras.

231219-105334: Palindromicity in Gaussian language.

231211-111851: Bridges and tunnels and Alexander numbering.

231211-080441: The $T\to T^{-1}$ sequence.

231206-093134: Elementary ideals.

230711-040216: Twisted doubles (2).

230211-100908: Twisted doubles.

230206-092653: Reidemeister torsion (2).

230203-072344: Reidemeister torsion.

221212-165324: Fiedler invariants.

220808-163148: Band Aid marathon.

210608-103235: Getting rid of $\hbar$.

200719-213611: $t$ and $w$ generate the centre.

200717-173256: Abbasi's argument.

200710-180818: Traces.

200703-175526: Zipping quadratics and pairing exterior powers.

200630-181026: Co-invariants, partial traces.

200626-180156: Mixed-direction homomorphisms.

200621-180015: Heisenberg calculus (2).

200621-180014: Heisenberg calculus.

200618-180337: Spinner challenge.

200618-175701: Composition for O/U tangles.

200612-182124: Hopf quandles?

200609-175618: Proof of connectivity.

200523-193429: Z is central.

200508-183718: Diamonds (2).

200508-183717: Diamonds.

200506-181422: Divisibility and overhangs.

200421-180229: The Diamond Lemma.

200417-180125: Riemann mappings and mapping-classs-vector-fields.

200414-182305: Aiming to separate vOU tangles with quantum invariants.

200411-180721: Virtual surgeries.

200408-181534: Random

200405-185919: The injectivity of PvB->OU, following Chterental (3).

200405-185918: The injectivity of PvB->OU, following Chterental (2).

200405-185917: The injectivity of PvB->OU, following Chterental.

200330-192515: Associators and 6j symbols.

200330-192432: Universal $sl_2$ projectors.

200330-192229: OU tangles and braids.

200327-194535: Connected diagrams, 1PI.

200327-194405: The Sweedler Algebra.

200319-194117: UOFix.nb conventions.

200312-190540: Misc.

200303-175834: Smallness.

200206-092914: $DPG_n$.

200205-091751: Affine Lie algebras.

200205-075527: R2b, R2c, and (left-)(right-)(full-) Hopf algebras.

200128-105755: Towards a Seifert formula.

200122-081653: The automorphism group of $gl_{n+}^\epsilon$.

200116-163137: A representation of $sl_{2+}^\epsilon$.

200116-163136: The cyclic structure of $gl_{n+}^\epsilon$.

200115-110130: The general form of a Seifert formula.

200113-045334: The $\infty D$ DD theorem (2).

200110-120232: The $\infty D$ DD theorem.

200110-045836: Switching to the $t,w$ basis (3).

200107-103840: Switching to the $t,w$ basis (2).

200106-084931: Switching to the $t,w$ basis.

200103-113302: Proving the Seifert formula (2).

200103-113301: Proving the Seifert formula.

200102-100944: The BandSnatcher (3).

200102-100943: The BandSnatcher (2).

200102-100942: The BandSnatcher.

200102-100941: The Seifert Formula.

200102-100940: We don't understand Gaussian elimination.

191211-102115: 998001

191206-104422: Random.

191127-112136: $\epsilon$-representation theory.

191114-113819: Av+.

191113-110251: 3D weight systems, OC^2.

191023-180529: $sl_{2+}$ and $sl_2$ (2).

191017-180842: $sl_{2+}$ and $sl_2$.

191010-091901: Analytic Hom.

191003-084924: LaTeX

190925-183624: Complexity estimate.

190920-001154: Finding square roots.

190902-185102: Perturbative $PR^4$ (2).

190902-185101: Perturbative $PR^4$.

190826-132610: Biactions.

190812-104755: Topology of power series (3).

190808-122937: Topology of power series (2).

190808-113202: Topology of power series.

190627-101720: Montreal plans.

190617-112542: Zipping.

190612-114558: Preservation of Group-likeness.

190523-123359: $\mathcal D$

190515-154627: The band-twist (2).

190509-101709: The band-twist.

190502-110051: A better DoPeGDO.

190418-100648: Generating trees.

190411-095956: Symmetric strict spherical categories with a singly-generated set of objects.

190404-111008: The hm braided Hopf object.

190328-140159: Random.

190324-130215: Bracelets.

190324-123311: Sleeves and rec-tangles.

190314-105721: Denominators.

190308-101116: Binding and zipping.

190308-095452: Exponential zipping.

190228-094004: Proving zipping (2).

190228-085544: Proving zipping.

190208-101410: Proving translation invariance.

190105-102919: Seifert surfaces of tangles (2).

190104-105138: Seifert surfaces of tangles.

190104-105137: Constraints from diagrams.

190104-105136: Vertices and $\theta$.

190103-115459: Cartan involutions (3).

190103-115458: Cartan involutions (2).

190103-030708: Cartan involutions.

181231-101929: Sketch of a paper.

181231-101928: Denominators in basic linear algebra.

181231-101927: Rec-tangles (2).

181231-101926: Rec-tangles.

181026-100143: The double forever.

181012-095954: Kinks (2).

181012-094332: Kinks.

181005-100959: "Never walk alone".

180921-100133: Locally Euclidean Knotted Objects.

180901-170328: The quantized substitution differential.

180901-104431: Proving GDO identities using U.

180831-181528: Obtaining the trace degree by degree (2).

180831-155026: Obtaining the trace degree by degree.

180831-104019: How to order the construction.

180830-165215: A trace.

180829-113432: The double construction in infinite cases (3).

180829-103313: The double construction in infinite cases (2).

180829-095112: The double construction in infinite cases.

180828-170338: A tentative plan.

180827-113223: Variations on RRRR.

180826-171210: RRRR and FOIL.

180826-141644: The change of variables formula.

180826-120638: The circuit algebra of linear circuits.

180825-184202: The core category.

180822-104015: Co-invariants.

180810-101252: Hopf algebra objects.

180810-094448: Upright tangloids (2).

180810-091630: Upright tangloids.

180726-110931: The existence of the exponential function.

180722-150716: Zipping and integration.

180710-111004: Bilocal algebra.

180710-105727: Meta pairs of paired Hopf algebras.

180702-104428: det and adj.

180627-104652: A category of ${\mathbb E}$'s?

180621-103812: Random.

180601-102513: Zipping and denominators.

180528-102523: Three (significant) random issues.

180528-093723: Two views of triangularity.

180523-103428: Zip and Lip.

180523-100708: The Seifert formula.

180518-100711: The $\Delta$ logos, Majid's braided line and virtuals.

180516-094417: The 1-variable zip algebra.

180516-094416: Unwater dancing.

180510-085631: Learning from experience.

180427-123333: Doubling computations (3).

180427-122352: Doubling computations (2).

180427-122240: Doubling computations.

180427-120822: The doubling procedure.

180427-120007: "Undoubled" formulas.

180427-114506: Zip, Bind, and Double.

180420-121740: Matemale planning.

180419-150725: Today's to do list.

180419-150724: The spinner relations.

180418-111501: Some calculations.

180417-100734: GDO examples.

180415-120451: More on $y\to x^{-1}$ (4).

180415-120450: More on $y\to x^{-1}$ (3).

180415-120449: More on $y\to x^{-1}$ (2).

180415-120448: More on $y\to x^{-1}$.

180414-144005: The canonical form with $y\to x^{-1}$.

180411-115528: GDO stories (2).

180411-112521: GDO stories.

180402-104238: Replacing $y$ by $x^{-1}$.

180318-102946: Regrets.

180227-104921: Majid's $W$ (3).

180227-102859: Majid's $W$ (2).

180227-100033: Majid's $W$.

180223-105213: The linear Logos (2).

180215-100005: The linear Logos.

180213-114746: Docile-Gaussian.

180130-102650: Integration in the group-ring case.

180124-104401: Heegaard diagrams and Hopf words, $V_2$ using meta-monoids.

180115-095038: The plans with Dylan.

180110-100145: From CS to Au.

180108-100436: Twisting, co-multiplying, spinning.

171219-101626: Action and pairing.

171213-104420: The sl(N) weight system.

171206-100026: Inner products as double integrals.

171111-105056: gcs-rvt (2).

171111-100942: gcs-rvt.

171107-100120: The differential of the exponential.

171101-094400: Dequantization.

171026-095012: Difference-differential equations.

171017-100143: Pushforwards and the Laplace transform.

171011-100349: Failing with representation theory.

171004-093727: Pushforwards and Gaussian pairing (2).

171004-092638: Pushforwards and Gaussian pairing.

171004-091156: What the world should look like.

171004-084508: Non-injectivity and the antipode.

170927-100119: ${\mathcal U}_\hbar$ and gr ${\mathcal U}_\hbar$.

170927-094859: Ribbons.

170927-093707: Contracting instead of approximating by solvable.

170920-094603: OU and QUEA.

170912-095252: Drinfel'd-Kohno and Cartan (2).

170912-091507: Drinfel'd-Kohno and Cartan.

170822-072232: Trading non-commutativity to non-linearity.

170818-040005: Cartan invariance in the q-case.

170802-092154: Pushforward of distributions.

170721-095009: Random.

170719-094015: Quantizing at $\beta=0$.

170712-102044: $a\Delta$.

170710-101106: Solvable-split-nilpotent? (2)

170710-092953: Solvable-split-nilpotent?

170630-100213: Deformning hurded yax.

170630-093048: Hurding yax.

170629-161651: Alexander multi-stitching.

170627-144409: Alternative notations.

170623-145854: The Gaussian pairing principle (2).

170623-143123: The Gaussian pairing principle.

170623-135025: Reordering with ODEs (9).

170622-155815: The Drinfel'd element (6).

170622-152133: The Drinfel'd element (5).

170622-142424: The Drinfel'd element (4).

170622-113622: The Drinfel'd element (3).

170622-104449: Deforming Weyl algebras.

170622-095607: Bootstrapping F.

170622-085601: Reordering with ODEs (8).

170621-190120: Reordering with ODEs (7).

170621-184847: Reordering with ODEs (6).

170620-212242: Reordering with ODEs (5).

170620-183130: Reordering with ODEs (4).

170620-170855: Reordering with ODEs (3).

170620-163408: Reordering with ODEs (2).

170620-150826: Reordering with ODEs.

170620-115703: Water dancing (3).

170620-112342: Water dancing (2).

170620-104750: Water dancing.

170620-095053: Deriving Weyl.

170620-092320: Reordering exponentials.

170619-112439: Benkart-Witherspoon 2-parameter quantum groups (2).

170616-115856: Benkart-Witherspoon 2-parameter quantum groups.

170616-094846: Which way do we go?

170615-114316: Deformed Weyl algebras.

170615-110157: The antipode of exponentials (3).

170615-101642: The antipode of exponentials (2).

170614-153454: The antipode of exponentials.

170614-132002: The co-product of exponentials (3).

170614-112438: The co-product of exponentials (2).

170614-103510: The co-product of exponentials.

170613-184515: The Drinfel'd element (2).

170613-154100: The Drinfel'd element.

170613-141539: Which way the wake goes?

170612-173359: Quasi-triangularity.

170612-155902: Random.

170605-112555: Heisenberg and pairings.

170605-104935: $SL_q(2)$.

170529-164209: An Alexander stitching formula.

170508-110834: Nilpotent approximation.

170504-153033: Quesne's formula.

170424-105704: Meta-dual-pairs.

170419-113409: Symmetrized vs. ordered.

170412-100244: The Drinfeld Double.

170405-101118: OU tangles (2).

170405-093020: OU tangles.

170330-111349: Gaussian pairing.

170330-103057: The Drinfel'd double.

170323-112534: Gaussian gluing (2).

170323-104147: Gaussian gluing.

170316-105750: q-exponentials.

170311-171354: Unitarity.

170311-165240: The problem with quantum groups.

170311-162538: Random

170306-112116: Re-ordering in sl(2).

170302-105430: Higher degrees arise in higher algebras (3).

170302-103723: Higher degrees arise in higher algebras (2).

170302-102242: Higher degrees arise in higher algebras.

170223-113814: How determinants arise.

170223-111527: More general gluings of quadratics.

170223-105738: Ado for ${\mathfrak g}_1$.

170221-113909: The internal kernel for ${\mathcal A}^w$

170221-111258: Other solvable algebras.

170221-110142: The expected gln theorem.

170221-104720: Avoiding v-tangles.

170213-132632: Yoshikawa presentations.

170213-105017: Gaussian pairing (3).

170213-103908: Gaussian pairing (2).

170213-102559: Gaussian pairing.

170204-165508: The Cartan criterion.

170116-112638: Misc.

170109-111348: Realizations within Heisenberg algebras (2).

170109-110047: Realizations within Heisenberg algebras.

170109-104407: Divided differences.

161227-105906: What to expect at higher loops.

161213-161644: Kw at fixed linking.

161213-154512: Pairings in Au and Aw.

161124-121231: $q\Delta$ in ${\mathcal A}^w$.

161118-095033: $R^u$ and $R^w$, R2 and $S$.

161116-102639: $q\Delta$.

161116-100008: RVT (2).

161116-094447: RVT.

161109-171217: Working on the genus bound (2).

161109-095539: Working on the genus bound.

161102-113040: Seifert formulas (2).

161026-112111: Seifert formulas.

161013-133246: Rozansky's approach.

161006-111205: Alexander half densities.

160929-110658: The c-pattern.

160922-105559: Rotational Virtual Knots.

160915-110534: $\theta$ and unitarity.

160915-105134: Planar gluings.

160906-114130: $R$ or $V$? (2)

160906-111645: $R$ or $V$?

160812-110655: The $ax+b$ exponential.

160812-103541: The caup equations (2).

160812-102917: The caup equations.

160807-193013: w stuff.

160807-180545: The slide-under relation.

160807-171850: Mwu and Muw (3).

160807-163104: Mwu and Muw (2).

160807-162317: Mwu and Muw.

160806-154238: cuw cuw.

160805-145346: Logos

160805-113949: The key 1-co computation (3).

160804-152407: The key 1-co computation (2).

160804-111732: The key 1-co computation.

160804-100419: Differentiations.

160803-155603: Stitching (2).

160803-153000: Stitching.

160803-151020: The hard core $uw$ relation.

160803-134626: Some $c$ commutation relations.

160803-101237: An example of ${\mathbb E}$ in 1-co.

160802-183928: Implementation notes for 0-co in BPQ formalism.

160802-102109: Quantum double formulas.

160802-084942: Tuesday to do.

160801-095228: Hopf-calculus.

160731-180741: The $sm_q sl(2)$ invariant (2).

160731-121550: The $sm_q sl(2)$ invariant.

160731-113245: Quantum $sl_2$ (2).

160731-102318: Quantum $sl_2$.

160731-093843: The lagrangian formalism.

160730-181301: Proving commutation relations (2).

160730-175309: Proving commutation relations.

160730-162920: The quantum double (3).

160730-160854: The quantum double (2).

160730-152435: The quantum double.

160730-144644: Manipulating lagrangians (2).

160730-142321: Manipulating lagrangians.

160724-145736: Virtual caps and cups.

160714-111823: Random.

160630-112645: Links and co-invariants.

160630-110708: Polarization.

160630-104629: Scapegoating and KBH.

160622-115312: Random (2).

160615-105212: Random.

160610-103623: Doubling.

160603-114346: Turbo-Gassner (5).

160603-111519: Turbo-Gassner (4).

160603-110854: Turbo-Gassner (3).

160603-105446: Turbo-Gassner (2).

160603-101741: Turbo-Gassner.

160527-105408: Process diagrams and stitching for 0-co.

160527-104130: Yang-Baxter algebras and doubles of Lie bialgebras.

160520-095432: $J$ and $\Delta_q$.

160513-100130: Renormalizing ${\mathcal U}({\mathfrak g})$.

160513-095744: The polynomiality of $R$.

160513-094046: The double of the Borel.

160505-125742: Random.

160421-104129: Some representation theory.

160421-100738: Towards proving Jacobi from meta-Jacobi.

160414-102520: Minimal scattering.

160414-094440: Random stuff.

160408-103633: Attempts to prove Jacobi for the Lie algebra of a meta-Lie algebra.

160401-100337: Gauss-Gassner-Alexander (2).

160401-094300: Gauss-Gassner-Alexander.

160318-095746: $\Box$ and direct sums of Lie algebras.

160304-100231: Identities in meta-Lie algebras (2).

160219-112418: Identities in meta-Lie algebras.

160219-105741: Gauss-Gassner formulas (2).

160219-103323: Gauss-Gassner formulas.

160203-090206: Meta Lie algebras (2).

160203-083348: Meta Lie algebras.

160127-090342: Deriving the stitching formula for the scalar part.

160127-082827: Deriving the stitching formula for scattering.

160121-085907: Unitarity in ${\mathcal A}^u$.

160121-083531: The meta-cocycle.

160114-085907: Backie issues.

160107-085034: U, UU, and MM.

160107-085033: The 1-co relations.

160106-113352: Annular braids.

160106-084900: Scatter and glow (3).

160106-084859: Scatter and glow (2).

160106-084857: Scatter and glow.

160106-084855: Associators and 6j (2).

160106-084854: Associators and 6j.

160106-030015: Virtual spines (2).

160106-030011: Virtual spines.

160106-030004: Unitarity.

160104-155317: One-Co stories, day 1 (7).

160104-155316: One-Co stories, day 1 (6).

160104-155315: One-Co stories, day 1 (5).

160104-155314: One-Co stories, day 1 (4).

160104-155313: One-Co stories, day 1 (3).

160104-155312: One-Co stories, day 1 (2).

160104-155311: One-Co stories, day 1.

111109-165720: Spin Networks (5).

111109-155558: Spin Networks (4).

111109-153600: Spin Networks (3).

111109-153017: Spin Networks (2).

111109-152332: Spin Networks.