Triple linking and Heegaard Floer homology.

Series
Geometry Topology Seminar
Time
Monday, August 31, 2020 - 2:00pm for 1 hour (actually 50 minutes)
Location
Skiles 006
Speaker
Allison Moore – Virginia Commonwealth University – moorea14@vcu.eduhttps://people.vcu.edu/~moorea14/
Organizer
Miriam Kuzbary

We will describe several appearances of Milnor’s invariants in the link Floer complex. This will include a formula that expresses the Milnor triple linking number in terms of the h-function. We will also show that the triple linking number is involved in a structural property of the d-invariants of surgery on certain algebraically split links. We will apply the above properties toward new detection results for the Borromean and Whitehead links. This is joint work with Gorsky, Lidman and Liu.