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The Chern-Simons Functional and Floer Homology

Chern-Simons and Other Topological Field Theories November 16, 2021 - November 18, 2021

November 16, 2021 (02:30 PM PST - 03:30 PM PST)
Speaker(s): Simon Donaldson (Imperial College, London)
Location: Claremont Club & Spa
Primary Mathematics Subject Classification No Primary AMS MSC
Secondary Mathematics Subject Classification No Secondary AMS MSC
Video

The Chern-Simons Functional And Floer Homology

Abstract

In the first part of the talk we will review  Andreas Floer's construction, from the mid 1980's,  of 3-manifold invariants: applying the ideas of Morse Theory to the Chern-Simons functional. We will recall how these Floer homology groups  fit into a partial topological field theory and some of the many developments in this area over the past four decades.In the latter part of the talk we will discuss  variants of these ideas in higher dimensions and some of the analytical questions involving singularity formation which arise. 

Supplements
91976?type=thumb The Chern-Simons Functional and Floer Homology 4.53 MB application/pdf Download
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The Chern-Simons Functional And Floer Homology

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