Heegaard Floer homology and Seifert manifolds

Geometry Topology Seminar Pre-talk
Monday, October 28, 2019 - 12:45pm for 1 hour (actually 50 minutes)
Skile 006
Sungkyung Kang – Chinese University of Hong Kong
John Etnyre

Heegaard Floer homology gives a powerful invariant of closed 3-manifolds. It is always computable in the purely combinatorial sense, but usually computing it needs a very hard work. However, for certain graph 3-manifolds, its minus-flavored Heegaard Floer homology can be easily computed in terms of lattice homology, due to Nemethi. I plan to give the basic definitions and constructions of Heegaard Floer theory and lattice homology, as well as the isomorphism between those two objects.