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比利时vs摩洛哥足彩 ,
university of california san diego

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mathematical physics seminar

dana fine

university of massachusetts, dartmouth

a rigorous path integral for supersymmetric quantum mechanics and the atiyah-singer index theorem for the twisted dirac operator

abstract:

alvarez-gaumé gave arguments based on path integrals in supersymmetric quantum mechanics for index theorems including the gauss-bonnet-chern, hirzebruch, and atiyah-singer theorems. in this talk, i summarize these heuristic arguments, and describe a new construction of path integrals. this is also a new construction of the heat kernel for a generalized laplacian, and leads to rigorous path-integral proofs of these index theorems.

host: david meyer

march 11, 2016

10:00 am

ap&m 6402

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