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Gauge Theory Learning Seminar

On counting associative submanifolds and Seiberg-Witten monopoles

Gorapada Bera (SCGP)

Location:  HIll 705 and on Zoom
Date & time: Friday, 17 November 2023 at 2:00PM - 3:00PM

Abstract: In this talk, I will discuss the proposal of Doan and Walpuski to define an invariant of G2-manifolds based on counting associative submanifolds with Seiberg-Witten monopoles on them.  Their proposal was motivated by the analysis of various conjectural bifurcations that can change the number of associative submanifolds. In the most general case, the invariant they propose are Floer homology groups corresponding to a generalized Seiberg-Witten equation.  After a brief introduction to this field, I will explain those conjectural bifurcations and recent contributions to their proposal.

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