# Algebraic structure of knot Floer homology

## Location

383N

Event Series

Event Type

Seminar

Tuesday, February 13, 2024 4:00 PM

David Popovic (UCLA)

Knot Floer homology is a powerful link invariant. In its most general version, it is a bigraded chain complex over a polynomial ring F[U,V]. In this talk, I will describe the structure theorem of such objects - they are a direct sum of snake complexes and local systems - and explain what information each summand carries about the knot.