Joe

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A multiple integral that seems related to the $\zeta$ function at even integers

integration special-functions riemann-zeta-function polylogarithms asked Sep 1, 2021 at 18:18

Can one show corbordism invariance of the Crane-Yetter state-sum using simplicial methods / are there 'Pachner-like' moves for cobordisms?

qa.quantum-algebra simplicial-stuff cobordism topological-quantum-field-theory braided-tensor-categories asked Dec 2, 2020 at 5:34

mathoverflow.net

11 votes

Can triangulations (or some related combinatorial structure) distinguish smooth structures on $RP^4$?

at.algebraic-topology gt.geometric-topology topological-quantum-field-theory triangulations smooth-structures asked Jun 8, 2020 at 2:05

mathoverflow.net

10 votes

Can you put the Spin Connection in block diagonal form? (to be applied to the Atiyah-Singer theorem)

general-relativity differential-geometry curvature spinors asked Dec 11, 2019 at 5:17

physics.stackexchange.com

8 votes

Physical intuition of spin connection and spinor bundles?

general-relativity differential-geometry group-theory spinors asked Jun 13, 2017 at 23:01

physics.stackexchange.com

7 votes

Jordan-Wigner transformation on a circle and spin structures?

fermions spin-chains bosonization asked Oct 31, 2020 at 3:13

physics.stackexchange.com

6 votes

Can spin structures and Arf invariants be defined in terms of local quantities, like Chern classes and Chern numbers?

spin-geometry index-theory chern-classes dirac-operator asked Jun 2, 2019 at 3:44

mathoverflow.net

6 votes

Diagonalizing the ‘restricted’ Hilbert transform on $L^2(0,1)$, $f(z_1) \mapsto \mathrm{p.v.} \int_0^1 \frac{i}{z_1-z_2}f(z_2) dz_2$

fa.functional-analysis integration special-functions asked Jan 13 at 0:29

mathoverflow.net

5 votes

Can local flip moves connect dimer matchings on 'quadrangulated' planar bipartite graphs? (perfect matching reconfiguration problem)

graph-theory tiling perfect-matchings asked Jan 3, 2020 at 21:44

mathoverflow.net

5 votes

Clarify formula for Steifel-Whitney (Poincaré dual) homology classes in a barycentric subdivision?

at.algebraic-topology gt.geometric-topology differential-topology cohomology stiefel-whitney asked Mar 25, 2020 at 22:55

mathoverflow.net

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Joe

A multiple integral that seems related to the $\zeta$ function at even integers

Can one show corbordism invariance of the Crane-Yetter state-sum using simplicial methods / are there 'Pachner-like' moves for cobordisms?

Can triangulations (or some related combinatorial structure) distinguish smooth structures on $RP^4$?

Can you put the Spin Connection in block diagonal form? (to be applied to the Atiyah-Singer theorem)

Physical intuition of spin connection and spinor bundles?

Jordan-Wigner transformation on a circle and spin structures?

Can spin structures and Arf invariants be defined in terms of local quantities, like Chern classes and Chern numbers?

Diagonalizing the ‘restricted’ Hilbert transform on $L^2(0,1)$, $f(z_1) \mapsto \mathrm{p.v.} \int_0^1 \frac{i}{z_1-z_2}f(z_2) dz_2$

Can local flip moves connect dimer matchings on 'quadrangulated' planar bipartite graphs? (perfect matching reconfiguration problem)

Clarify formula for Steifel-Whitney (Poincaré dual) homology classes in a barycentric subdivision?