Topology Seminar (Introductory Talk): Monopole Floer homology and exact triangles

Seminar | October 31 | 2:10-3 p.m. | 736 Evans Hall

 Francesco Lin, Princeton University

 Department of Mathematics

Monopole Floer homology is an invariant of three-manifolds obtained by studying the Seiberg-Witten equations. After discussing its definition and basic properties, we will focus on its behavior under Dehn surgery; in particular we will describe the surgery exact triangle, and how it can be useful both for computations and topological applications.