Bonn Topology Group - Abstracts

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Fabian Hebestreit (Bonn): Twisted spin cobordism and positive scalar curvature (26/01/2016)


Following a brief exposition of twisted (co)homology and more generally parametrised homotopy theory, I want to explain the relevance of twisted Spin cobordism to the search for Riemannian metrics of positive scalar curvature and in particular the Gromov-Lawson-Rosenberg conjecture. I will then present a homotopical analysis of the underlying parametrised spectrum of twisted spin cobordism and report on ongoing joint work with Michael Joachim and Stephan Stolz aimed at proving an existence theorem for such metrics on manifolds whose universal cover admit a spin structure.

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