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Holomorphic Floer Theory and Donaldson-Thomas Invariants

[HYBRID WORKSHOP] New Four-Dimensional Gauge Theories October 24, 2022 - October 28, 2022

October 24, 2022 (03:30 PM PDT - 04:30 PM PDT)
Speaker(s): Pierrick Bousseau (University of Georgia)
Location: SLMath: Eisenbud Auditorium, Online/Virtual
Primary Mathematics Subject Classification No Primary AMS MSC
Secondary Mathematics Subject Classification No Secondary AMS MSC
Video

Holomorphic Floer Theory And Donaldson-Thomas Invariants

Abstract

Holomorphic Floer theory is the analog of Floer theory for holomorphic symplectic manifolds. This topic has been recently explored, from several different perspectives, by Kontsevich-Soibelman and Doan-Rezchikov. In a different direction, I will in this talk present a conjectural picture relating holomorphic Floer theory of complex integrable systems to Donaldson-Thomas invariants. In physical terms, we will discuss a relation between the BPS spectrum of an N=2 4-dimensional field theory and the enumerative geometry of the corresponding Seiberg-Witten integrable system.

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Holomorphic Floer Theory And Donaldson-Thomas Invariants

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