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I am a postdoc in maths with a degree in theoretical physics. I am interested in mathematical structures in quantum field theory and string theory, see here.

1d
awarded  Nice Question
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accepted Diffeomorphisms and homotopy equivalences sliced over BO(n)
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awarded  Announcer
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comment Diffeomorphisms and homotopy equivalences sliced over BO(n)
Thanks a lot for taking the time to compile this excellent argument. That saves me from walking down a dead-end.
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revised Diffeomorphisms and homotopy equivalences sliced over BO(n)
fixed a typo
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asked Diffeomorphisms and homotopy equivalences sliced over BO(n)
Oct
21
awarded  Announcer
Oct
21
awarded  Self-Learner
Oct
21
revised Extended TFT with coefficients in spans in any $\infty$-topos
added 4 characters in body
Oct
21
answered Extended TFT with coefficients in spans in any $\infty$-topos
Oct
20
awarded  Announcer
Oct
20
comment Extended TFT with coefficients in spans in any $\infty$-topos
I should maybe say that the idea would be to use naturality of the equivalences in the case of $\infty$-groupoids to reduce the desired equivalence in the case of general $\mathbf{H}$ to a presheaf of equivalences and then conclude from that.
Oct
18
asked Extended TFT with coefficients in spans in any $\infty$-topos
Oct
15
comment “extended TQFT” versus “TQFT with defects”
Yes, representations of cobordisms with singularities encode TFTs with boundaries and defects. For "pre-quantum" field theory this is discussed in sections 3.9.14.4 to 3.9.14.6 of arxiv.org/abs/1310.7930 (improved version in preparation at ncatlab.org/schreiber/show/Local+prequantum+field+theory). For quantization of this: arxiv.org/abs/1402.7041 . This is based on discussion with Domenico Fiorenza and Alessandro Valentino that recently appeared as arxiv.org/abs/1409.5723
Oct
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awarded  Yearling
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awarded  Announcer
Sep
24
awarded  Autobiographer
Sep
15
comment From 3-framings on $\Sigma$ to $\mathrm{Spin}^c$-structures on $\mathrm{Loc}_G(\Sigma)$?
Chris Schommer-Pries has kindly pointed out that there should be a positive answer to the second of my questions: the projectively flat Hitchin connection on the Riemann moduli space canonically lifts to a genuinely flat connection on the 3-framing moduli space. This follows with a) Segal's deprojectivization, 2) the fact that "Atiyah 2-framings" provide "level-12 riggings" and 3) the observation (which Chris kindly highlighted) that there is a canonical functor from the 1-type of 3-framings to that of "Atiyah 2-framings" (see ncatlab.org/nlab/show/modular+functor#TopologicalLift).
Sep
11
reviewed Approve suggested edit on homotopy exact sequence for the étale fundamental group
Sep
10
comment When does a moduli space admit a spin structure?
There are of course moduli spaces which are both important and at the same time are geometrically simple, a key example being the (higher) Jacobians ncatlab.org/nlab/show/intermediate+Jacobian which are simply higher dimensional tori. Hence these even admit a framing and in particular admit whatever G-structure you want.