A categorified view of the Alexander invariant.

Liam Watson (University of Glasgow)

Wednesday 24th September, 2014 16:00-17:00 Maths 516


Alexander invariants are classical objects in low-dimensional topology stemming from a natural module structure on the homology of the universal abelian cover. This is the natural setting in which to define the Alexander polynomial of a knot, for example, and given that this polynomial arises as graded Euler characteristic in knot Floer homology, it is natural to ask if there is a Floer-theoretic counterpart to the Alexander invariant. There is: This talk will describe a TQFT due to Donaldson, explain how it is categorified by bordered Heegaard Floer homology, and from this place the Alexander invariant in a Heegaard Floer setting. This is joint work with Jen hom and Tye Lidman. 

Add to your calendar

Download event information as iCalendar file (only this event)