Local contact homology - A toy example in Morse theory

speaker: Doris Hein (Albert-Ludwigs-Universität Freiburg)

abstract: The standard definition of (local) contact homology faces transversality issues due to an S¹-symmetry in the setting. Using finite-dimensional approximation, this symmetry can be discretized and the problem reduces to defining invariant local Morse homology for an action of a finite cyclic group. In this talk, I will discuss how to define invariant local Morse homology of an isolated critical point of an invariant function on a manifold with a certain ZkZ action. The definition relies on the construction of an invariant perturbation near the critical point. This is joint work with Umberto Hryniewicz and Leonardo Macarini.

timetable:
Wed 22 Apr, 9:30 - 10:30, Aula Dini
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