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Introduction to Intanton Floer Homology Pt II

[HYBRID WORKSHOP] Introductory Workshop: Analytic and Geometric Aspects of Gauge Theory August 29, 2022 - September 02, 2022

August 31, 2022 (10:30 AM PDT - 11:30 AM PDT)
Speaker(s): Sherry Gong (Texas A & M University)
Location: SLMath: Eisenbud Auditorium, Online/Virtual
Primary Mathematics Subject Classification No Primary AMS MSC
Secondary Mathematics Subject Classification No Secondary AMS MSC
Video

Introduction To Intanton Floer Homology Pt II

Abstract

Instanton Floer homology groups are groups associated to a 3-manifold. Their construction involves a process analogous to Morse theory where we consider a functional on the space of SU(2) connections on the manifold and study its critical points and gradient flow lines. In these two talks, we'll define the instanton Floer homology and discuss how to use it to understand 3-manifolds, knots, and links.

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Introduction To Intanton Floer Homology Pt II

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