Involutions and the Chern-Simons filtration in instanton Floer homology
Involutions and the Chern-Simons filtration in instanton Floer homology
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Antonio Alfieri, Universit茅 du Qu茅bec 脿 Montr茅al
In a recent paper in collaboration with 听Dai, Mallick, and Taniguchi we developed an invariant based on instanton Floer homology aimed at studying strong corks and equivariant bounding. 听Our construction utilizes the Chern-Simons filtration and is qualitatively different from previous Floer-theoretic methods used to address these questions. 听I will discuss various topological applications of these methods and outline the main ideas behind this machinery. 听