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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. |
} |