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

sep 1 11 at 6:00 HW 10.1k●1●23●66

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Are there lots of integer homology three-spheres?

feb 3 12 at 7:33 Agol 23.9k●1●33●85

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

aug 31 at 9:16 jvp 5,390●1●8●23

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Cobordism of orbifolds?

dec 5 at 23:24 Daniel Moskovich 11.1k●1●36●106

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

mar 18 at 20:07 Misha 12.6k●1●26●48

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

may 2 at 8:31 Liviu Nicolaescu 11.4k●1●20●33

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

jan 22 12 at 10:59 Nicola Ciccoli 1,118●4●10

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How many definitions are there of the Jones polynomial?

jun 14 11 at 18:46 Bruno Martelli 4,732●1●13●33

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

jun 21 11 at 21:12 Tamas Hausel 565●3●7

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