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Topological field theory on r-spin surfaces and the Arf invariant

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Speaker: 
Lorant Szegedy
Affiliation: 
Universität Hamburg
Date: 
Mon, 2018-01-29 16:30 - 18:00
Location: 
MPIM Lecture Hall
Parent event: 
MPIM Topology Seminar

We present a state-sum construction of topological field theories (TFT)
on r-spin surfaces which uses a combinatorial model of r-spin structures
based on the work of Novak. We give an example of such a TFT which
computes the Arf invariant for r even. We use the combinatorial model
and this TFT to calculate diffeomorphism classes of r-spin surfaces with
parametrized boundary, extending results of Geiges and Gonzalo and of
Randal-Williams.

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