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Equivariant Rokhlin and Eta invariants of Seifert Fibered Homology Spheres
Geometry/Topology| Speaker: | Imogen Montague, UT Austin |
| Related Webpage: | https://sites.google.com/view/imogenmontague |
| Location: | 2112 MSB |
| Start time: | Tue, Oct 7 2025, 2:10PM |
Given an integer homology 3-sphere equipped with an action of the finite cyclic group Z/n, I will define an equivariant homology cobordism invariant taking values in the group ring (Q/2Z)[Z/2n] which refines the usual Z/2-valued Rokhlin invariant of integer homology 3-spheres. Furthermore, I will explain how to compute (a Q[Z/2n]-valued lift of) this invariant for Seifert fibered homology spheres via equivariant eta invariants of the Dirac operator. Finally, I will discuss connections with equivariant versions of Seiberg-Witten Floer homology, and outline some topological applications at the end.