Blackboard Shots with Prefix "Vo"

180321-172711: Huan-style stitching.

180117-090140: Towards a Siefert formula.

171213-162052: The graph of maximal trees.

171116-124259: The Weyl commutation relations.

171108-172619: $e^{bc+uw}$.

171102-164129: Scattering and $\Gamma$-calculus.

171026-164517: Some commutative diagrams around $\Gamma$-calculus.

170928-160646: Presenting ribbon knots (7).

170928-160645: Presenting ribbon knots (6).

170928-160644: Presenting ribbon knots (5).

170922-164213: Presenting ribbon knots (4).

170922-160959: Presenting ribbon knots (3).

170921-163924: Presenting ribbon knots (2).

170921-161939: Presenting ribbon knots.

170921-161008: Negative semi-virtuals.

170630-164708: Every v-knot is the closure of a v-braid.

170623-170246: Proof of the Conway relation.

170623-164414: Closures of long virtual knots.

170529-165317: Deriving the u-w commutation relation (2).

170529-164225: Deriving the u-w commutation relation.

170529-161944: Proof of the Conway relation.

170508-163207: Tangle closures and links.

170421-162221: Proving the Alexander skein relation (2).

170413-155904: Proving the Alexander skein relation.

170407-163357: Proof of unitarity (2).

170407-160818: Proof of unitarity.

170331-170656: Unitarity for the $\omega$ part.

170324-170730: Generating pure tangles (2).

170317-164324: Generating pure tangles.

170310-173139: Tensor structures.

170224-150625: Fox-Milnor using $\Gamma$ (3).

170224-145513: Fox-Milnor using $\Gamma$ (2).

170224-144632: Fox-Milnor using $\Gamma$.

170221-164000: Stitching in bulk.

170214-164336: The $\theta$-condition for $\omega$.

170203-153924: Under-slide for u-tangles.

170118-160209: Scattering (2).

170118-154452: Scattering.

170111-184938: Sketch of a thesis.

161228-115715: Scattering in the ${\mathfrak g}_0$ formalism.

161217-102033: Finding the right algebra.

161213-170913: Closed components.

161213-165917: Unitarity for braids.

161125-171517: Equations for $h$.

161122-173005: $\theta$ on $q{\mathfrak g}_0$.

161122-171331: The cap equation.

161110-185449: $\theta$-invariance (2).

161110-152549: $\theta$-invariance.

161102-182806: $\Delta$.

161027-160426: Is $V$ unique?

161013-164729: Genus in $\Gamma$-calculus.

160926-174758: Doubling strands in 0-co.

160921-182738: Chords in terms of arrows.

160919-173038: $N^{wu}$ (4).

160916-180708: $N^{wu}$ (3).

160914-173512: $N^{wu}$ (2).

160914-172235: $N^{wu}$.

160913-164349: An involution on $\mathfrak{G}_0$ (4).

160913-161802: An involution on $\mathfrak{G}_0$ (3).

160909-164958: An involution on $\mathfrak{G}_0$ (2).

160908-153836: An involution on $\mathfrak{G}_0$.

160906-170529: Scattering by $PA^u$.

160906-164251: A simple $V$.

160825-152402: Solving functional equations.

160823-145143: $R_u$.

160823-143746: Naive strand doubling.

160819-181612: $d\Delta$ (2).

160817-155411: $d\Delta$.

160816-160725: Strand doubling using $V$.

160816-154800: Unitarity via u->w (3).

160630-145817: Unitarity via u->w (2).

160621-145744: Unitarity via u->w.

160621-142257: Jana to $\Gamma$.

160616-160057: Borrowing from Masseyeau.

160607-143335: Conjugation and natural transformations.

160531-163023: Unitarity: from pure u-tangles to arbitrary u-tangles.

160524-171210: The symmetry of the Alexander polynomial (2).

160517-164833: The symmetry of the Alexander polynomial.

160513-151008: Shortcuts to $A$ and $\omega$ (3).

160510-152708: Shortcuts to $A$ and $\omega$ (2).

160504-151123: Shortcuts to $A$ and $\omega$.

160422-141940: Unitarity of reductions.

160412-144952: Stitching as reduction? (2)

160405-155220: Stitching as reduction?

160405-153235: Proving the unitarity condition.

160328-163839: The unitarity condition (3).

160321-112041: The unitarity condition (2).

160308-150108: The unitarity condition.

160301-152319: The pairing.

160216-153510: UnitaryQ.

160209-152607: Unitarity.

160202-153016: Signs between C-T and MM (2).

160126-153327: Signs between C-T and MM.

160119-155112: Some Gassner conventions.

160113-155531: Lagrangian and Unitary.

151223-154618: Stitching formulas!

151216-120500: Compositions (3).

151210-125229: Compositions (2).

151202-163042: Compositions.

151202-161043: Caps, cups, formula?

151125-155049: A tangle computation in the Cimasoni-Turaev method (2).

151125-151412: A tangle computation in the Cimasoni-Turaev method.

151111-153754: Subspaces and graphs.

151104-155436: A $\Gamma$-calculus computation.

151104-152741: Kirk-Livingston-Wang.

151028-154942: Cimasoni-Turaev.

151021-150039: Homological interpretation of Burau (4).

151014-162138: Homological interpretation of Burau (3).

151014-160414: Homological interpretation of Burau (2).

151014-152741: Homological interpretation of Burau.

151007-162457: Elliptic w-braids.

151007-161219: Towards the unitarity of Burau.

151002-135609: Deriving Gassner.

150923-155610: LKB by Jackson-Kerler.

150916-154136: Truncated Lawrence's representation.

150909-175942: Stitching and matrix multiplication (2).

150909-174242: Stitching and matrix multiplication.

150909-172754: Colored Alexander Poly and Cone Manifolds by J. Murakami (2).

150902-161951: Colored Alexander Poly and Cone Manifolds by J. Murakami.

150818-153615: Ito's formulas for colored Alexander.

150818-152243: The Cartan involution and weight systems.

150812-160707: Deligne and Vogel.

150805-160124: $gl(1|1)$, the Deligne exceptional series.

150624-161652: ${\mathcal A}^Y$.

150617-161629: Braids in the annulus following Lieberum.

150617-155945: Braids in the annulus.

150520-155450: A non-homomorphic UFTI in genus $g>0$.

150520-152418: There are no Vassiliev-type homomorphic UFTI in genus $g>0$.

150513-161719: Tangles in the annulus following Brochier (2).

150513-151905: Tangles in the annulus following Brochier.

150422-155413: Three filtrations on annular braids.

150422-153652: Another isotopy, on the torus (3).

150422-153544: Another isotopy, on the torus (2).

150422-153121: Another isotopy, on the torus.

150415-165611: An isotopy (5).

150415-164948: An isotopy (4).

150415-164241: An isotopy (3).

150415-164012: An isotopy (2).

150415-163925: An isotopy.

150415-163709: Some relations in genus 1 (2).

150408-163046: Some relations in genus 1.

150401-181059: Structures on $M_{g,n}$.

150401-175332: Genus $g$ structures (and spiders).

150320-140149: Meeting with Kasra Rafi (5).

150320-135240: Meeting with Kasra Rafi (4).

150320-133933: Meeting with Kasra Rafi (3).

150320-132959: Meeting with Kasra Rafi (2).

150320-131946: Meeting with Kasra Rafi.

150318-173919: The "other" Artin rep.

150311-172615: Some questions about $B_{g,n}$.

150218-162502: Crossed modules and differential crossed modules.

150211-155602: Yoshikawa for w-knots.

150211-151937: Quillen's theorem.

150204-155029: $\pi_2(M,M^1)$ (2).

150204-153823: $\pi_2(M,M^1)$.

150128-155642: Questions about virtual 2-knots.

150121-155321: The action of w-braids on $\pi_2$.

150114-155252: Invariants from crossed modules (5).

150114-153839: Invariants from crossed modules (4).

141217-160951: Invariants from crossed modules (3).

141217-154900: Invariants from crossed modules (2).

141217-153017: Invariants from crossed modules.

141209-155930: Meta-conjugacy-classes.

141121-171237: Many things are unknown about w-links (2).

141121-164455: Many things are unknown about w-links.

141117-170551: The map $v{\mathcal K}_n\to w{\mathcal K}_{n+1}$ (2).

141110-181212: The map $v{\mathcal K}_n\to w{\mathcal K}_{n+1}$.

141031-181032: The virtual Alexander polynomial (4).

141031-175613: The virtual Alexander polynomial (3).

141031-173157: The virtual Alexander polynomial (2).

141031-172041: The virtual Alexander polynomial.

141010-153425: v-Alexander directions.

141003-155346: The A-M proof of Duflo.

140926-171709: Stam

140926-170656: The Clifford relation.

140916-173447: Operator Weil diagrams (2).

140916-162659: Operator Weil diagrams.

140910-171157: Homological wheeling (2).

140910-165105: Homological wheeling.

140903-172527: ${\mathcal A}^w$ as a space of operators.

140903-164310: Punctures and caps.

140903-162201: $p$ and $c$.

140827-153056: Two languages for Duflo.

140827-150743: $\alpha$ is well-defined.

140827-145301: The odd map from Aw to Au.

140820-152108: Chern-Weil theory (4).

140820-144305: Chern-Weil theory (3).

140820-143858: Chern-Weil theory (2).

140820-143249: Chern-Weil theory.

140805-155245: A diagram of Kricker spaces (2).

140805-153023: A diagram of Kricker spaces.

140729-140932: Duflo, wheeling, and $1+1=2$ (8).

140729-140931: Duflo, wheeling, and $1+1=2$ (7).

140729-140930: Duflo, wheeling, and $1+1=2$ (6).

140729-140929: Duflo, wheeling, and $1+1=2$ (5).

140729-140928: Duflo, wheeling, and $1+1=2$ (4).

140729-140927: Duflo, wheeling, and $1+1=2$ (3).

140729-140926: Duflo, wheeling, and $1+1=2$ (2).

140729-140925: Duflo, wheeling, and $1+1=2$.

140728-153406: Duflo in W and related issues.

140617-141823: The Lie-evaluation of wheels.

140612-145944: The $1/n$-twist.

140612-143755: Some details of wheeling <--> Duflo.

140605-144747: The Duflo map (3).

140605-144439: The Duflo map (2).

140605-142412: The Duflo map.

140522-145328: Ideas for further problems (2).

140516-145225: Ideas for further problems.

140516-140221: A riddle about rings, strands, and tangles, by Oleg Chterental.

140505-165814: The case of dis-connected surfaces.

140502-151740: $W_S$.

140502-143847: The inner kernel of $W_{PL}$ (2).

140425-154938: The inner kernel of $W_{PL}$.

140425-154048: Inner kernels.

140425-142732: PL for links?

140418-151403: $W_{PL}$ in the many-component case.

140414-153404: $m^{xy}_z$ in the PL case.

140403-153134: Simplifications for the canonical $W_{PL}$ on $\mathcal M$ (2).

140327-154930: Simplifications for the canonical $W_{PL}$ on $\mathcal M$.

140313-161922: The canonical $W_R$ on $\mathcal M$.

140306-152806: $W_{PL}$ and boundary components.

140227-152118: $W_{PL}$ on surfaces.

140206-154441: A meta-group language for $W_{PL}$?

140128-154036: The planar limit of HOMFLYPT (3).

140123-160148: The planar limit of HOMFLYPT (2).

140123-151853: The planar limit of HOMFLYPT.

140116-153546: Multilinear invariants.

140108-182937: A triple integral for $St$?

140108-180957: Bracelets for plane curves.

140108-172534: $J^+$, $J^-$, and $St$.

131217-145312: G-Finite-Type.

131112-130441: A proof of IHX in the Duzhin weight system.

131017-173524: Finding relations in ${\mathcal A}^D$ (2).

131008-125432: Finding relations in ${\mathcal A}^D$.

131001-132458: The Duzhin weight system.

130829-172053: On a weight system conjecturally related to $sl_2$, http://arxiv.org/abs/1307.4933 (6).

130829-164553: On a weight system conjecturally related to $sl_2$, http://arxiv.org/abs/1307.4933 (5).

130829-161151: On a weight system conjecturally related to $sl_2$, http://arxiv.org/abs/1307.4933 (4).

130815-165559: On a weight system conjecturally related to $sl_2$, http://arxiv.org/abs/1307.4933 (3).

130815-161747: On a weight system conjecturally related to $sl_2$, http://arxiv.org/abs/1307.4933 (2).

130815-160533: On a weight system conjecturally related to $sl_2$, http://arxiv.org/abs/1307.4933.