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Seminar

Diffeomorphisms and Gauge Theory Seminar: Monopole Floer Homology and Reality December 08, 2022 (09:30 AM PST - 10:30 AM PST)
Parent Program:
Location: SLMath: Eisenbud Auditorium, Online/Virtual
Speaker(s) Jiakai Li (Harvard University)
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Keywords and Mathematics Subject Classification (MSC)
Primary Mathematics Subject Classification No Primary AMS MSC
Secondary Mathematics Subject Classification No Secondary AMS MSC
Video

Diffeomorphisms And Gauge Theory Seminar: Monopole Floer Homology And Reality

Abstract/Media

To participate in this seminar, please register HERE.

I will explain how real structure appears in Seiberg-Witten theory for manifolds with involutions. In particular, I will define a “real" version of Kronheimer-Mrowka's monopole Floer homology. As a special case, we obtain Floer homology groups for links via their double branched covers equipped with covering involutions. I will describe the structure of these groups and give some examples.

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Diffeomorphisms And Gauge Theory Seminar: Monopole Floer Homology And Reality