User John Pardon

64 votes

4 answers

8k views

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

asked Jan 27, 2012 at 5:08

33 votes

5 answers

3k views

Are the two meanings of "undecidable" related?

lo.logic computability-theory nt.number-theory

asked May 16, 2013 at 5:30

32 votes

1 answer

1k views

Limiting representation theory of quantum groups at roots of unity and $SL(2,\mathbb{C})$

rt.representation-theory lie-groups mp.mathematical-physics qa.quantum-algebra quantum-groups

asked Sep 30, 2018 at 17:46

29 votes

3 answers

2k views

Is it decidable whether or not a collection of integer matrices generates a free group?

lo.logic computability-theory algorithms gr.group-theory

asked Aug 31, 2011 at 23:53

27 votes

2 answers

2k views

Cobordism of orbifolds?

cobordism smooth-manifolds orbifolds gromov-witten-theory at.algebraic-topology

asked Dec 5, 2012 at 18:48

25 votes

1 answer

3k views

Are there Maass forms where the expected Galois representation is $\ell$-adic?

modular-forms automorphic-forms rt.representation-theory maass-forms galois-representations

asked Jun 5, 2012 at 22:22

25 votes

2 answers

1k views

Complete the following sequence: point, triangle, octahedron, . . . in a dg-category

homological-algebra convex-polytopes derived-categories triangulated-categories chain-complexes

asked Apr 17, 2016 at 21:33

23 votes

0 answers

2k views

Are there lots of integer homology three-spheres?

3-manifolds combinatorial-topology simplicial-complexes statistical-physics

asked Feb 3, 2012 at 1:49

22 votes

3 answers

2k views

Is SL(2,C)/SL(2,Z) a quasi-projective variety?

ag.algebraic-geometry rt.representation-theory lie-groups algebraic-groups modular-forms

asked Aug 28, 2012 at 20:27

22 votes

3 answers

2k views

Does a topological manifold have an exhaustion by compact submanifolds with boundary?

at.algebraic-topology smooth-manifolds manifolds topological-manifolds gt.geometric-topology

asked May 1, 2013 at 15:56

22 votes

1 answer

744 views

Pseudo-holomorphic curves in the six-sphere

sg.symplectic-geometry octonions pseudo-holomorphic-curves

asked Sep 24, 2015 at 19:11

20 votes

1 answer

2k views

Gauss linking integral and quadratic reciprocity

nt.number-theory qa.quantum-algebra quantum-field-theory chern-simons-theory quadratic-reciprocity

asked Sep 23, 2013 at 0:21

20 votes

2 answers

766 views

Can a finite group action by homeomorphisms of a three-manifold be approximated by a smooth action?

gr.group-theory gt.geometric-topology differential-topology 3-manifolds topological-manifolds

asked Sep 29, 2017 at 19:44

20 votes

1 answer

1k views

Why is there a unique hyperbolic simplex of largest area?

rigidity lie-groups hyperbolic-geometry simplicial-volume polylogarithms

asked Dec 29, 2011 at 16:57

19 votes

2 answers

3k views

How many definitions are there of the Jones polynomial?

knot-theory qa.quantum-algebra quantum-groups braided-tensor-categories topological-quantum-field-theory

asked Jun 13, 2011 at 23:37

17 votes

3 answers

2k views

Is there an algebraic construction of the Quillen (determinant) Line Bundle?

sg.symplectic-geometry moduli-spaces line-bundles riemann-surfaces ag.algebraic-geometry

asked Jun 19, 2011 at 15:52

17 votes

3 answers

2k views

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

topological-quantum-field-theory extended-tqft qa.quantum-algebra quantum-groups

asked Jun 22, 2011 at 3:34

17 votes

4 answers

2k views

High multiplicity eigenvalue implies symmetry?

dg.differential-geometry laplacian sp.spectral-theory

asked May 22, 2011 at 20:57

17 votes

1 answer

996 views

Categorification of Floer homology

sg.symplectic-geometry hochschild-homology categorification fukaya-category

asked Apr 30, 2017 at 20:18

16 votes

4 answers

1k views

Can you tell the volume of a symplectic manifold from the Poisson brackets?

sg.symplectic-geometry dg.differential-geometry ag.algebraic-geometry

asked Jan 18, 2012 at 18:37

15 votes

0 answers

1k views

Representations of quantum groups at roots of unity

qa.quantum-algebra quantum-groups quantum-topology reference-request character-varieties

asked Jan 24, 2012 at 0:51

15 votes

1 answer

943 views

Can the SL_2 character variety of a three-manifold be nonreduced?

3-manifolds gt.geometric-topology character-varieties ag.algebraic-geometry

asked Feb 28, 2013 at 6:45

15 votes

2 answers

3k views

How do I get the correct long exact sequence for relative group cohomology in terms of derived functors?

homological-algebra derived-functors group-cohomology

asked May 29, 2011 at 15:48

15 votes

1 answer

657 views

When can a contractible 2-complex be embedded in R^3?

simplicial-stuff at.algebraic-topology gt.geometric-topology

asked Aug 13, 2011 at 18:50

15 votes

0 answers

1k views

Katz--Mazur for abelian varieties

ag.algebraic-geometry nt.number-theory moduli-spaces abelian-varieties characteristic-p

asked Dec 28, 2013 at 19:48

15 votes

0 answers

313 views

Is tightness decidable?

sg.symplectic-geometry 3-manifolds contact-geometry decidability

asked Aug 31, 2015 at 6:53

14 votes

1 answer

732 views

Is there a category whose isomorphisms are precisely the simple homotopy equivalences?

at.algebraic-topology homotopy-theory kt.k-theory-and-homology algebraic-k-theory simple-homotopy-theory

asked Nov 16, 2014 at 1:31

14 votes

0 answers

252 views

Homotopy type of spaces of functions with few critical points

at.algebraic-topology differential-topology smooth-manifolds morse-theory

asked Jul 11, 2017 at 14:41

14 votes

2 answers

1k views

Which definition of "proper" is better?

ag.algebraic-geometry gn.general-topology stacks

asked May 4, 2019 at 20:21

14 votes

2 answers

734 views

Projective modules over quantum groups

qa.quantum-algebra quantum-groups lie-algebra-cohomology

asked Dec 16, 2011 at 5:14

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126 Questions

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

Are the two meanings of "undecidable" related?

Limiting representation theory of quantum groups at roots of unity and $SL(2,\mathbb{C})$

Is it decidable whether or not a collection of integer matrices generates a free group?

Cobordism of orbifolds?

Are there Maass forms where the expected Galois representation is $\ell$-adic?

Complete the following sequence: point, triangle, octahedron, . . . in a dg-category

Are there lots of integer homology three-spheres?

Is SL(2,C)/SL(2,Z) a quasi-projective variety?

Does a topological manifold have an exhaustion by compact submanifolds with boundary?

Pseudo-holomorphic curves in the six-sphere

Gauss linking integral and quadratic reciprocity

Can a finite group action by homeomorphisms of a three-manifold be approximated by a smooth action?

Why is there a unique hyperbolic simplex of largest area?

How many definitions are there of the Jones polynomial?

Is there an algebraic construction of the Quillen (determinant) Line Bundle?

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

High multiplicity eigenvalue implies symmetry?

Categorification of Floer homology

Can you tell the volume of a symplectic manifold from the Poisson brackets?

Representations of quantum groups at roots of unity

Can the SL_2 character variety of a three-manifold be nonreduced?

How do I get the correct long exact sequence for relative group cohomology in terms of derived functors?

When can a contractible 2-complex be embedded in R^3?

Katz--Mazur for abelian varieties

Is tightness decidable?

Is there a category whose isomorphisms are precisely the simple homotopy equivalences?

Homotopy type of spaces of functions with few critical points

Which definition of "proper" is better?

Projective modules over quantum groups