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Top Questions
19
votes
What happened to the Vacuum Hypothesis in TQFT?
qa.quantum-algebra
gt.geometric-topology
tqft
asked Mar 7, 2010 at 15:13
mathoverflow.net
14
votes
Does every $SL_2\mathbb{C}$ representation of a closed oriented surface extend over a compact oriented three-manifold?
3-manifolds
cobordism
teichmuller-theory
asked Feb 23, 2020 at 12:28
mathoverflow.net
9
votes
Orbit of an irreducible representation of a surface group under that action of the mapping class group
gt.geometric-topology
ds.dynamical-systems
mapping-class-groups
character-varieties
asked Jun 1, 2019 at 2:10
mathoverflow.net
8
votes
Computations of the Link homology categorifying the second colored Jones polynomial
qa.quantum-algebra
gt.geometric-topology
knot-theory
asked Mar 27, 2010 at 17:50
mathoverflow.net
8
votes
Interpreting Witten's Asymptotic Expansion of the WRT invariant.
gt.geometric-topology
sg.symplectic-geometry
mp.mathematical-physics
asked Dec 2, 2010 at 1:09
mathoverflow.net
6
votes
Coordinates on Flag Manifolds
ag.algebraic-geometry
gt.geometric-topology
asked Jun 25, 2010 at 13:00
mathoverflow.net
5
votes
Asymptotics of the quantum exponential
qa.quantum-algebra
asymptotics
asked Nov 6, 2014 at 13:20
mathoverflow.net
5
votes
Can't remember about homotopy equivalences of surface with boundary.
surfaces
geometric-topology
low-dimensional-topology
asked May 21 at 0:06
math.stackexchange.com
Top Answers
24
How to motivate the skein relations?
mathoverflow.net
19
Why aren't complex vector bundles isomorphic to their duals?
math.stackexchange.com
17
What should be taught in a 1st course on smooth manifolds?
mathoverflow.net
16
Relations of Characteristic classes: Chern, Stiefel-Whitney, Pontryagin, Euler, Wu class.
math.stackexchange.com
15
Why don't quaternions have an overall phase?
mathoverflow.net
14
Points on a sphere
mathoverflow.net
14
Is there a volume conjecture for closed 3-manifolds?
mathoverflow.net
12
Cobordism categories that don't involve manifolds
mathoverflow.net
12
Is the sum of two irrational numbers almost always irrational?
math.stackexchange.com
11
How to demonstrate $SO(3)$ is not simply connected?
mathoverflow.net
11
Why is the winding number of a matrix an integer?
math.stackexchange.com
10
When does a CW-complex of dimension 2 embedd in $R^4$ ?
mathoverflow.net
10
Trace identities and the Kauffman Bracket skein module
mathoverflow.net
9
Why is a topology made up of 'open' sets?
mathoverflow.net
9
What out-of-print books would you like to see re-printed?
mathoverflow.net
9
AJ conjecture for links
mathoverflow.net
9
Why does there exist a lift from $RP(2)$ to $S^2$?
math.stackexchange.com
8
Gauge theory construction of moduli of vector bundles
mathoverflow.net
8
Are compact submanifolds of "S X (0,1)" with one boundary component handlebodies, where S is a closed surface?
mathoverflow.net
8
$\operatorname{SL}_2(\mathbb R)$ Casson invariant?
mathoverflow.net
7
How To Calculate A Winding Number?
mathoverflow.net
7
How do you recover the structure of the upper half plane from its description as a coset space?
mathoverflow.net
7
Fox differential calculus and the Alexander invariant of a link
mathoverflow.net
7
Which mathematicians have influenced you the most?
mathoverflow.net
6
Homology of Surfaces with Holes
mathoverflow.net
6
Euler characteristics and operator indices as exponents for Laurent polynomials
mathoverflow.net
6
Probing a manifold with closed curves
mathoverflow.net
6
pseudo-Anosov surface in three manifolds
mathoverflow.net
6
Morse theory Vs degree theory
math.stackexchange.com
5
Tautological bundle on G$(n,k)$ and Chern classes
mathoverflow.net
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