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Contact 3-Manifolds and Gauge-Theoretic Invariants

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

August 30, 2022 (03:30 PM PDT - 04:30 PM PDT)
Speaker(s): Olga Plamenevskaya (State University of New York, Stony Brook)
Location: SLMath: Eisenbud Auditorium, Online/Virtual
Primary Mathematics Subject Classification No Primary AMS MSC
Secondary Mathematics Subject Classification No Secondary AMS MSC
Video

Contact 3-Manifolds And Gauge-Theoretic Invariants

Abstract

A contact structure on a 3-manifold is a 2-plane field satisfying a non-degeneracy condition. We'll discuss important features of contact structures and explain why they are interesting, how gauge-theoretic invariants help understand contact 3-manifolds, and how contact structures combined with gauge theory lead to important results in low-dimensional topology.

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Contact 3-Manifolds And Gauge-Theoretic Invariants

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