© | Dror Bar-Natan: Academic Pensieve: Blackboard Shots: Aarhus:
130529-143827: $\mathcal K$ is a monoid.
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Aarhus-{ hide text
  130607-145257: Last Aarhus shot!
  130607-145246: The EK isomorphism.
  130607-142451: Low algebra for v.
  130607-141721: Proof of Polyak-Ohtsuki.
  130607-120040: Roman XII (2).
  130607-120030: Roman XII.
  130607-115054: The semi-virtuals and 6T.
  130607-104057: Variants for v-knotted objects.
  130607-102910: What are v-knotted objects? (2)
  130607-101623: What are v-knotted objects?
  130606-145758: The double tree construction.
  130606-145744: From $\Phi$ to $V$.
  130606-145733: Associators in $w\mathcal A$.
  130606-145723: $Tet$, $\Phi$, $\rho$, $R$, $F$.
  130606-143458: Domino theory and relations.
  130606-141438: KTGs and operations.
  130606-121545: $R$ and $r$.
  130606-121534: $W$ and $c$.
  130606-105421: ${\mathcal U}(I{\mathfrak g})$ and tangential differential operators.
  130606-105411: The Wen, unzips.
  130606-105400: Diagrammatic R4, VI.
  130606-103835: The $\mathcal A$ of a capped strand.
  130605-161331: Philippe Humbert and his blackboards.
  130605-144333: $vPB_n$ and Lee's theorem.
  130605-143759: Artin's theorem and McCool's theorem.
  130605-143023: The good news about braids.
  130605-142330: Combing horizontal chord diagrams.
  130605-142035: Combing braids and horizontal chord diagrams.
  130605-120125: div.
  130605-115232: The swap/tha operation.
  130605-113457: The primitives of ${\mathcal A}^{bh}$.
  130605-104535: The smooth vertices.
  130605-104444: ${\mathcal A}^{bh}$ is a bi-algebra.
  130605-103206: ${\mathcal A}^{bh}$ and $Z^{bh}$.
  130604-155326: The meta-semi-direct-product on KBH (2).
  130604-154638: The meta-semi-direct-product on KBH.
  130604-153302: Tubes, spheres, circles.
  130604-145219: $Z$ is group-like, $\zeta=\log Z$.
  130604-144027: The primitives of $w{\mathcal A}$ (2).
  130604-142816: The primitives of $w{\mathcal A}$.
  130604-141340: Back to $w{\mathcal A}$.
  130604-112542: The motivating example for meta-groups.
  130604-112410: The motivating almost-example for meta-groups.
  130604-112011: Meta-groups as algebraic structures.
  130603-160354: Low algebra (2).
  130603-155154: Low algebra.
  130603-153931: Proof of bracket rise.
  130603-153044: Bracket rise.
  130603-145403: Milnor-Moore.
  130603-145004: $w{\mathcal A}$ is a bi-algebra.
  130603-144033: Proof of the fundamental theorem (2).
  130603-143359: Proof of the fundamental theorem.
  130603-142812: The fundamental theorem.
  130603-141351: Signs on arrows, take 2. Then 4T.
  130603-120123: Signs on arrows, take 1.
  130603-115259: Finite type invariants in the w case.
  130603-113604: wRels (2).
  130603-112817: wRels.
  130603-112806: Some relations in the inflation language.
  130603-105314: wW, wGens.
  130603-103707: Ribbon 2-knots.
  130531-160351: Chord diagrams for KTGs are chord diagrams for tangles.
  130531-155845: KTGs are tangles.
  130531-155234: KTGs and VI.
  130531-154624: $Z_{\mathfrak g}$ and $Z^{\text{univ}}$.
  130531-143632: Some Feynman diagrams (2).
  130531-143430: Some Feynman diagrams.
  130531-115312: Configuration space integrals.
  130531-113747: The framing correction.
  130531-110853: A little on Leibniz' law.
  130531-110818: Some configurations.
  130531-104242: Dimensions counts and orientations.
  130530-160759: Doubling and the co-product.
  130530-160301: Low algebra, better (2).
  130530-155826: Low algebra, better.
  130530-154442: Constructing associators (2).
  130530-152021: Constructing associators.
  130530-145312: Twisting associators (3).
  130530-144725: Twisting associators (2).
  130530-143956: Twisting associators.
  130530-142523: Locality in scale.
  130530-142308: The pentagon and the hexagons.
  130530-141505: Z on the generators.
  130530-141155: PaCD (2).
  130530-120259: PaCD.
  130530-115352: PaB (3).
  130530-114351: PaB (2).
  130530-113815: PaB.
  130530-112954: Renormalizing associators.
  130530-105204: An exercise on deframing (2).
  130530-105150: An exercise on deframing.
  130530-103723: Using the axiom of choice.
  130530-102415: Algebraic topology.
  130530-101816: Ribbon singularities and clasp singularities.
  130529-160144: The pentagon.
  130529-155625: The three basic required computations.
  130529-145615: Renormalizing the Kontsevich integral.
  130529-144931: $\mathcal A$ is a commutative algebra (2).
  130529-144635: $\mathcal A$ is a commutative algebra.
  130529-143827: $\mathcal K$ is a monoid.
  130529-142802: The problem with humps.
  130529-142751: Two references.
  130529-141434: Factorizing the Kontsevich integral.
  130529-113905: Proof of universallity (2).
  130529-113514: Proof of universallity.
  130529-112820: Why Universal?
  130529-105856: 4T in horizontal form.
  130529-103855: The fundamental theorem and universal finite type invariants (3).
  130529-103348: The fundamental theorem and universal finite type invariants (2).
  130529-102816: The fundamental theorem and universal finite type invariants.
  130528-160519: The relationship with Lie algebras (2).
  130528-154956: The relationship with Lie algebras.
  130528-154404: Proof of IHX.
  130528-153649: Proof of bracket-rise.
  130528-153102: Invariants of algebraically-split links.
  130528-152702: The Goussarov definition - bracelets.
  130528-144906: The bracket-rise theorem.
  130528-143630: The weight system of Conway (3).
  130528-143257: The weight system of Conway (2).
  130528-142842: The weight system of Conway.
  130528-142447: 4T (2).
  130528-141744: 4T.
  130528-141304: FI.
  130528-120211: Chord diagrams.
  130528-115716: The weight system.
  130528-115030: Jones is a series of finite-type invariants (2).
  130528-114704: Jones is a series of finite-type invariants.
  130528-113938: Linking and self-linking.
  130528-113201: The definition of finite-type and the simplest examples.
  130528-112442: The definition of finite-type.
  130528-104008: The 4x3 table.
  130528-104002: A formula is a graph.
  130528-101825: Toplogy, Combinatorics, Low Algebra, High Algebra.
  130527-165531: Cancellations in complexes (2).
  130527-165528: Cancellations in complexes.
  130527-164608: The constraints on $m$ and $\Delta$.
  130527-161325: Invariance of the groups themselves.
  130527-161314: Khovanov's theorem on Khovanov homology.
  130527-152622: Nearly-block-diagonal matrices.
  130527-152619: The composition in AHD.
  130527-150024: Basic exterior algebra.
  130527-144809: The circuit algebra vT.
  130527-144056: Circuit algebras.
  130527-143350: The planar algebra of smoothings.
  130527-141724: The planar algebra uT.
  130527-140825: Planar Algebras.
  130527-112713: The skein relation for Jones.
  130527-111022: The Kauffman bracket of tangles.
  130527-110651: Scanning a knot.
  130527-110319: Computing the Kauffman bracket.
  130527-104453: The PD notation.
  130527-103533: The Jones polynomial.
  130527-103014: R3 Invariance.
  130527-102735: R2 Invariance.
  130527-102207: Definition of the Kauffman bracket.
  130527-101602: The Reidemeister moves.
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