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Invertible 2-dimensional framed and r-spin topological field theories

Lorant Szegedy
(MPIM, Bonn)
Seminar
Friday, 10 May, 2019, at 14:15-15:15, in Aud. D3 (1531-215)
Abstract:
We classify invertible 2-dimensional framed and r-spin topological field theories by computing the homotopy groups and the k-invariant of the corresponding bordism categories. By a recent result of Kreck, Stolz and Teichner the first homotopy groups are given by the so called SKK groups. We compute them explicitly using the combinatorial model of framed and r-spin surfaces of Novak, Runkel and myself.
Organised by: QGM
Contact person: Jørgen Ellegaard Andersen