User user25309

46 votes

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Volume of the unitary group

answered Apr 25, 2015 at 16:38

24 votes

What are the higher homotopy groups of a K3 suface?

answered Nov 3, 2014 at 20:57

22 votes

Why are the holomorphic line bundle sections finite dimensional?

answered Jan 27, 2013 at 16:36

21 votes

Semisimplicity of Frobenius operation on etale cohomology?

answered Aug 6, 2012 at 12:20

21 votes

Nice proofs of the Poincaré–Birkhoff–Witt theorem

answered May 7, 2017 at 9:59

16 votes

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What is the meaning of $(h^{11},h^{21})\to (h^{11}-240,h^{21}+240)$ in Calabi-Yau threefolds?

answered Mar 27, 2014 at 12:36

16 votes

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Where does the $\hat A$ class get its name?

answered May 10, 2019 at 22:05

15 votes

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Existence of Riemann surface, holomorphic maps

answered Feb 26, 2019 at 10:50

15 votes

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Why is a Topological Field Theory equivalent to a Frobenius algebra?

answered Dec 8, 2016 at 15:53

14 votes

What are some geometric / physical / probabilistic interpretations of the Riemann zeta function at integer arguments n ≤ 1?

answered Mar 31, 2014 at 18:57

14 votes

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"Arithmetic genus" of a plane curve singularity.

answered Feb 23, 2013 at 17:43

13 votes

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What is Kontsevich's Hodge theory of path integrals?

answered Oct 24, 2018 at 13:05

12 votes

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Semisimplicity of the category of coherent sheaves?

answered Apr 13, 2019 at 15:05

12 votes

Heuristic behind the Fourier-Mukai transform

answered Sep 28, 2012 at 12:57

12 votes

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central charge and Calabi-Yau dimension

answered Aug 15, 2015 at 9:31

11 votes

Why is conformal invariance only possible for massless theories?

answered May 18, 2017 at 11:34

11 votes

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Calabi-Yau manifolds and knot theory

answered Mar 22, 2017 at 21:43

10 votes

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supersymmetry and the de Rham complex

answered Jan 1, 2018 at 14:49

10 votes

Where is number theory used in the rest of mathematics?

answered Aug 21, 2012 at 15:45

10 votes

Eigenvalues of the Laplace-Beltrami operator on a compact Riemannnian manifold

answered May 18, 2019 at 16:48

9 votes

Why is the CM closure of $\mathbb{Q}$ the "ultimate" coefficient field for motives?

answered Apr 17, 2016 at 13:48

7 votes

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cohomology and $j_!$

answered Aug 10, 2012 at 19:00

7 votes

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Multiple mirrors phenomenon from SYZ and HMS perspective

answered Feb 15, 2019 at 11:18

7 votes

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Hyperkähler ALE $4$-manifolds

answered Mar 8, 2019 at 18:31

7 votes

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Compactification of 6d (2, 0) SCFT on 4-manifolds

answered Jun 14, 2018 at 23:03

6 votes

A mistake in "Chtoucas de Drinfeld et correspondance de Langlands"

answered May 23, 2019 at 8:19

6 votes

In Gromov-Witten theory, why is the string coupling constant weighted by $2g-2$?

answered Apr 17, 2016 at 15:11

6 votes

Are the Eigenvalues of the Frobenius on Crystalline cohomology bounded by degree?

answered Sep 5, 2016 at 0:16

6 votes

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Incorporating Divisors (D4-branes) into Donaldson-Thomas Theory?

answered May 19, 2017 at 15:01

6 votes

Some questions about correlation functions and amplitudes in quantum field theory

answered May 20, 2017 at 19:56

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53 Answers

Volume of the unitary group

What are the higher homotopy groups of a K3 suface?

Why are the holomorphic line bundle sections finite dimensional?

Semisimplicity of Frobenius operation on etale cohomology?

Nice proofs of the Poincaré–Birkhoff–Witt theorem

What is the meaning of $(h^{11},h^{21})\to (h^{11}-240,h^{21}+240)$ in Calabi-Yau threefolds?

Where does the $\hat A$ class get its name?

Existence of Riemann surface, holomorphic maps

Why is a Topological Field Theory equivalent to a Frobenius algebra?

What are some geometric / physical / probabilistic interpretations of the Riemann zeta function at integer arguments n ≤ 1?

"Arithmetic genus" of a plane curve singularity.

What is Kontsevich's Hodge theory of path integrals?

Semisimplicity of the category of coherent sheaves?

Heuristic behind the Fourier-Mukai transform

central charge and Calabi-Yau dimension

Why is conformal invariance only possible for massless theories?

Calabi-Yau manifolds and knot theory

supersymmetry and the de Rham complex

Where is number theory used in the rest of mathematics?

Eigenvalues of the Laplace-Beltrami operator on a compact Riemannnian manifold

Why is the CM closure of $\mathbb{Q}$ the "ultimate" coefficient field for motives?

cohomology and $j_!$

Multiple mirrors phenomenon from SYZ and HMS perspective

Hyperkähler ALE $4$-manifolds

Compactification of 6d (2, 0) SCFT on 4-manifolds

A mistake in "Chtoucas de Drinfeld et correspondance de Langlands"

In Gromov-Witten theory, why is the string coupling constant weighted by $2g-2$?

Are the Eigenvalues of the Frobenius on Crystalline cohomology bounded by degree?

Incorporating Divisors (D4-branes) into Donaldson-Thomas Theory?

Some questions about correlation functions and amplitudes in quantum field theory