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Geometric Analysis Seminar

On monopole Lefschetz number

Jianfeng Lin (MIT)

Location:  Hill 705
Date & time: Tuesday, 06 November 2018 at 3:00PM - 4:00PM

Abstract:  Monopole Floer homology is a powerful invariant of in 3-dimensional topology. By its naturality, monopole Floer homology of a 3-manifold is acted upon by its mapping class group. In a recent work with Danny Ruberman and Nikolai Saveliev, we make the first step towards understanding this action by calculating the Lefschetz numbers of certain involutions making the 3–manifold into a double branched cover over a link in the 3–sphere. Various applications of of this formula will be discussed.

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