# Homological Link Invariants from Floer Theory

### APA

LePage, E. (2023). Homological Link Invariants from Floer Theory. Perimeter Institute. https://pirsa.org/23050138

### MLA

LePage, Elise. Homological Link Invariants from Floer Theory. Perimeter Institute, May. 11, 2023, https://pirsa.org/23050138

### BibTex

@misc{ pirsa_23050138, doi = {10.48660/23050138}, url = {https://pirsa.org/23050138}, author = {LePage, Elise}, keywords = {Mathematical physics}, language = {en}, title = {Homological Link Invariants from Floer Theory}, publisher = {Perimeter Institute}, year = {2023}, month = {may}, note = {PIRSA:23050138 see, \url{https://pirsa.org}} }

Elise LePage University of California, Berkeley

## Abstract

In recent work, Aganagic proposed a categorification of quantum link invariants based on a category of A-branes, which is solvable explicitly. The theory is a generalization of Heegaard-Floer theory from gl(1|1) to arbitrary Lie algebras. I will describe in the detail the two simplest cases: the su(2) theory, categorifying the Jones polynomial, and the gl(1|1) theory, categorifying the Alexander polynomial. I will give an explicit algorithm for computing link homologies in these cases. I will also briefly describe the generalization to other simple Lie algebras and to Lie superalgebras of type gl(m|n). This talk is based on work to appear with Mina Aganagic and Miroslav Rapcak.

Zoom Link: TBD