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

feb 25 12 at 16:47 Jørgen Ellegaard Andersen 441●2●4

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696

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

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

sep 1 11 at 6:00 HW 10.1k●1●25●68

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Are there lots of integer homology three-spheres?

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

feb 3 12 at 7:33 Ian Agol 24.3k●1●34●86

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725

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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 at 9:16 jvp 5,390●1●8●23

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326

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

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

mar 18 at 20:07 Misha 13k●1●26●48

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answer

319

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Cobordism of orbifolds?

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

dec 5 at 23:24 Daniel Moskovich 11.5k●1●38●108

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404

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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 at 8:31 Liviu Nicolaescu 11.5k●1●21●33

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607

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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 Nicola Ciccoli 1,128●4●10

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How many definitions are there of the Jones polynomial?

knot-theory qa.quantum-algebra quantum-groups braided-tensor-cat tqft

jun 14 11 at 18:46 Bruno Martelli 5,026●1●14●34

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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 Tamas Hausel 565●3●7

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Questions

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

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

Are there lots of integer homology three-spheres?

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

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

Cobordism of orbifolds?

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

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

How many definitions are there of the Jones polynomial?

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

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