Thursday February 01, 2018 1:00 PM  2:00 PM MAT 5127
 Linh Truong, Columbia University
Truncated Heegaard Floer homology and concordance invariantsHeegaard Floer homology has proven to be a useful tool in the study of knot concordance. Ozsvath and Szabo first constructed the tau invariant using the hat version of Heegaard Floer homology and showed tau provides a lower bound on the slice genus. Later, Hom and Wu constructed a concordance invariant using the plus version of Heegaard Floer homology; this provides an even better lowerbound on the slice genus. In this talk, I discuss a sequence of concordance invariants that are derived from the truncated version of Heegaard Floer homology. These truncated Floer concordance invariants generalize the OzsvathSzabo and HomWu invariants.
