A few refinements of Heegaard Floer genus bounds

Ian Zemke

In this talk, we will discuss some improvements to known Heegaard Floer genus and clasp number bounds. We define a family of concordance invariants Y_n(K) which sometimes give better slice genus bounds than the best previous known bounds from Rasmussen’s V_n(K). The invariants Y_n(K) have a simple description in terms of the existence of local maps between knot-like complexes. Using similar techniques, we are also able to show that Hendricks and Manolescu’s involutive correction terms also give a slice genus bound. This project is joint work with Andras Juhasz.

http://scgp.stonybrook.edu/video_portal/video.php?id=4658

Simons- Workshop: Floer homology in low-dimensional topology