Instantons, the 4D clasp number, and knot ideals

Instantons, the 4D clasp number, and knot ideals

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Christopher Scaduto, University of Miami

Zoom link:https://princeton.zoom.us/j/453512481?pwd=OHZ5TUJvK2trVVlUVmJLZkhIRHFDUT09

Equivariant singular instanton Floer homology is a suite of algebraic invariants associated to a knot which is derived from instanton gauge theory. The constructions enrich and add structure to the instanton knot homologies defined by Kronheimer and Mrowka. In this talk I will explain applications of this theory to the 4D clasp number of knots, and also the relationship of our invariants to certain knot ideals recently defined by Kronheimer and Mrowka.

This is joint work with Aliakbar Daemi.