58:14
publiée le 30 octobre 2025
Equivariant trisections for group actions on four-manifolds
De Jeffrey Meier
Cornered skein lasagna theory
Apparaît dans la collection : Jean Morlet Chair - Trisections and related topics / Chaire Jean Morlet - Trisections et interactions
The theory of skein lasagna modules, initiated by Morrison-Walker-Wedrich, has been the subject of much interest in recent years. This theory takes as input Khovanov-Rozansky link homology and yields invariants of oriented 4-manifolds, which are generally very powerful yet hard to calculate. Most excitingly, this theory was used recently to detect exotic compact 4-manifolds by Ren-Willis, marking the first such result proven without the use of gauge theory. In this talk I will discuss an extension of skein lasagna theory for cornered 4-manifolds and describe an application to trisections of 4-manifolds, with an eye towards calculations. This is joint work with Slava Krushkal and Yangxiao Luo.
