User Kevin Walker

39 votes

Where is number theory used in the rest of mathematics?

answered Mar 9, 2012 at 15:18

34 votes

Thurston's "tinker toy" problem

answered Mar 21, 2018 at 22:03

32 votes

Cubical vs. simplicial singular homology

answered Nov 1, 2009 at 14:43

27 votes

Why hasn't anyone proved that the two standard approaches to quantizing Chern-Simons theory are equivalent?

answered Jan 27, 2012 at 6:43

26 votes

How to tackle the smooth Poincaré conjecture

answered May 22, 2012 at 12:45

23 votes

Operations via Morse Theory

answered Jul 1, 2012 at 11:48

23 votes

Are higher categories useful?

answered Dec 8, 2011 at 18:17

22 votes

Accepted

Geometric model for classifying spaces of alternating groups

answered Jun 30, 2010 at 23:00

22 votes

Accepted

What's the current state of the classification of not-fully-extended TQFTs?

answered Jul 9, 2010 at 13:14

17 votes

Accepted

Relation between fully-extended TQFT and a "topless" TQFT

answered May 11, 2014 at 16:39

17 votes

Accepted

How are the Walker-Wang TQFT and the Crane-Yetter TQFT related?

answered Jan 23, 2015 at 3:52

14 votes

Why can't we take three loops?

answered Nov 6, 2014 at 5:18

14 votes

Accepted

heegard diagram

answered Oct 10, 2012 at 16:05

14 votes

A Pachner complex for triangulated manifolds

answered Aug 10, 2010 at 16:17

14 votes

Do all 3D TQFTs come from Reshetikhin-Turaev?

answered Oct 13, 2009 at 5:26

14 votes

How to calculate the Witten-Reshetikhin-Turaev invariants from a triangulation?

answered Jun 22, 2011 at 21:46

13 votes

A soft introduction to physics for mathematicians who don't know the first thing about physics

answered Jan 7, 2011 at 15:22

13 votes

Picturing a Certain Torus and Klein Bottle

answered May 15, 2013 at 2:15

13 votes

Does there exist a discrete gauge theory as a TQFT detecting the figure-8 knot?

answered Feb 21, 2019 at 13:33

12 votes

4D TQFT from a modular tensor category

answered May 16, 2013 at 14:55

12 votes

Accepted

3-manifolds bounded by a non-compact Riemann surface of genus 0

answered Oct 4, 2013 at 14:04

12 votes

How many mathematicians are there?

answered Aug 21, 2012 at 16:18

12 votes

Accepted

Maximal exotic $\mathbb{R}^4$

answered Nov 27, 2009 at 17:11

11 votes

"Dirty" proof that Eilenberg-MacLane spaces represent cohomology?

answered Nov 14, 2009 at 16:05

11 votes

Can adjoint linear transformations be naturally realized as adjoint functors?

answered Jan 3, 2010 at 6:44

11 votes

Accepted

What's the right way to think about "anomalies" in 3d TQFTs?

answered Oct 13, 2009 at 3:30

11 votes

Accepted

Geometric interpretation of the Pontryagin square

answered Mar 25, 2011 at 20:15

11 votes

In knot theory: Benefits of working in $S^3$ instead of $\mathbb{R}^3$?

answered May 20, 2011 at 16:45

11 votes

Is the endomorphism algebra of a dualizable bimodule necessarily finite dimensional?

answered Aug 14, 2011 at 16:40

11 votes

Motivation and unsolved problems of TQFT

answered Aug 9, 2012 at 12:09

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118 Answers

Where is number theory used in the rest of mathematics?

Thurston's "tinker toy" problem

Cubical vs. simplicial singular homology

Why hasn't anyone proved that the two standard approaches to quantizing Chern-Simons theory are equivalent?

How to tackle the smooth Poincaré conjecture

Operations via Morse Theory

Are higher categories useful?

Geometric model for classifying spaces of alternating groups

What's the current state of the classification of not-fully-extended TQFTs?

Relation between fully-extended TQFT and a "topless" TQFT

How are the Walker-Wang TQFT and the Crane-Yetter TQFT related?

Why can't we take three loops?

heegard diagram

A Pachner complex for triangulated manifolds

Do all 3D TQFTs come from Reshetikhin-Turaev?

How to calculate the Witten-Reshetikhin-Turaev invariants from a triangulation?

A soft introduction to physics for mathematicians who don't know the first thing about physics

Picturing a Certain Torus and Klein Bottle

Does there exist a discrete gauge theory as a TQFT detecting the figure-8 knot?

4D TQFT from a modular tensor category

3-manifolds bounded by a non-compact Riemann surface of genus 0

How many mathematicians are there?

Maximal exotic $\mathbb{R}^4$

"Dirty" proof that Eilenberg-MacLane spaces represent cohomology?

Can adjoint linear transformations be naturally realized as adjoint functors?

What's the right way to think about "anomalies" in 3d TQFTs?

Geometric interpretation of the Pontryagin square

In knot theory: Benefits of working in $S^3$ instead of $\mathbb{R}^3$?

Is the endomorphism algebra of a dualizable bimodule necessarily finite dimensional?

Motivation and unsolved problems of TQFT