[Seminar] "2-torsion in Instanton Homology" by Deeparaj Bhat

Title: 2-torsion in Instanton Homology

Abstract: This talk will focus on the presence of 2-torsion in a specific flavour of instanton (knot) homology introduced by Kronheimer--Mrowka. The main results are that the Poincaré homology sphere and fibered knots in 3-manifolds exhibit 2-torsion in their instanton homology. The key gauge theoretic input used in both results is a new surgery exact triangle, which relates instanton homology of three manifolds obtained by surgeries on a knot to singular instanton homology of the knot. Time permitting, we also sketch the use of sutured Floer theory in the second main result. Part of the talk is based on joint work with Zhenkun Li and Fan Ye.

Speaker: Deeparaj Bhat (Columbia University)

This talk will also be broadcast online via Zoom: 
Meeting ID: 974 4775 6289
Passcode: 371131

Language: English

This lecture is part of the  Thematic Program on “New Frontiers in Gauge Theory, Topology, and Physics” (TP26GT).