User John Pardon

47

62

votes

4

answers

7k

views

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

Mar 4 '19 at 10:36 David Roberts 27.6k

10

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

May 23 '19 at 20:57 Konstantinos Kanakoglou 6,302

12

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

Oct 17 '14 at 14:02 Alla Detinko 111

9

26

votes

5

answers

2k

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Are the two meanings of “undecidable” related?

lo.logic computability-theory nt.number-theory

Feb 7 '15 at 1:36 Community♦ 1

10

26

votes

2

answers

2k

views

Cobordism of orbifolds?

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

Aug 4 '13 at 15:17 Kim 61

8

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

Apr 20 '16 at 7:53 მამუკა ჯიბლაძე 14.8k

12

23

votes

0

answers

2k

views

Are there lots of integer homology three-spheres?

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

Feb 3 '12 at 7:33 Ian Agol 57.9k

18

21

votes

1

answer

2k

views

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

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

Apr 5 '13 at 2:45 Community♦ 1

5

21

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

Aug 31 '12 at 9:16 Jorge Vitório Pereira 7,867

5

20

votes

1

answer

604

views

Pseudo-holomorphic curves in the six-sphere

sg.symplectic-geometry octonions pseudo-holomorphic-curves

Jan 25 at 13:06 Robert Bryant 85.4k

20

votes

2

answers

738

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

Oct 3 '17 at 19:11 John Pardon 16.6k

5

20

votes

1

answer

977

views

Why is there a unique hyperbolic simplex of largest area?

rigidity lie-groups hyperbolic-geometry simplicial-volume polylogarithms

Dec 29 '11 at 20:54 John Pardon 16.6k

15

19

votes

1

answer

1k

views

Gauss linking integral and quadratic reciprocity

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

Sep 23 '13 at 17:33 Cam McLeman 8,014

11

19

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

May 2 '13 at 8:31 Liviu Nicolaescu 29.7k

11

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

Jun 14 '11 at 18:46 Bruno Martelli 8,931

6

17

votes

1

answer

862

views

Categorification of Floer homology

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

May 1 '17 at 0:53 john mangual 20.9k

10

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

Dec 12 '12 at 21:13 Ricardo Machado 31

6

17

votes

4

answers

1k

views

High multiplicity eigenvalue implies symmetry?

dg.differential-geometry laplacian sp.spectral-theory

Mar 17 '12 at 23:04 Alex Eskin 2,981

12

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

Jun 21 '11 at 21:12 Community♦ 1

6

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

Jan 22 '12 at 10:59 Community♦ 1

10

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

Aug 16 '16 at 17:41 Community♦ 1

5

15

votes

0

answers

290

views

Is tightness decidable?

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

Sep 1 '15 at 20:48 Shamisen 1,466

6

15

votes

0

answers

968

views

Katz--Mazur for abelian varieties

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

Dec 28 '13 at 21:10 John Pardon 16.6k

4

15

votes

1

answer

866

views

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

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

Mar 18 '13 at 20:07 Misha 29k

2

15

votes

1

answer

633

views

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

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

Aug 13 '11 at 21:09 Ian Agol 57.9k

12

15

votes

2

answers

2k

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

May 30 '11 at 8:17 algori 21.6k

2

14

votes

2

answers

1k

views

Which definition of “proper” is better?

ag.algebraic-geometry gn.general-topology stacks

Sep 25 '19 at 0:33 John Pardon 16.6k

3

14

votes

0

answers

247

views

Homotopy type of spaces of functions with few critical points

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

Jul 11 '17 at 14:41 John Pardon 16.6k

3

14

votes

1

answer

830

views

Is there an algebraic description of Yang-Mills measure?

character-varieties riemann-surfaces moduli-spaces sg.symplectic-geometry ag.algebraic-geometry

May 25 '16 at 12:53 Sean Lawton 6,629

6

14

votes

2

answers

713

views

Projective modules over quantum groups

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

Mar 5 '16 at 9:23 David Jordan 5,723

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121 Questions

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

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?

Are the two meanings of “undecidable” related?

Cobordism of orbifolds?

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

Are there lots of integer homology three-spheres?

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

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

Pseudo-holomorphic curves in the six-sphere

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?

Gauss linking integral and quadratic reciprocity

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

How many definitions are there of the Jones polynomial?

Categorification of Floer homology

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

High multiplicity eigenvalue implies symmetry?

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

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

Representations of quantum groups at roots of unity

Is tightness decidable?

Katz--Mazur for abelian varieties

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

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

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

Which definition of “proper” is better?

Homotopy type of spaces of functions with few critical points

Is there an algebraic description of Yang-Mills measure?

Projective modules over quantum groups