Participant Testimonials

Mar 20 - Mar 25, 2016

This BIRS workshop stimulated a lot of ideas. To begin with, I was able to make progress on a collaboration with Steven Sivek regarding interactions between contact geometry and the fundamental group. I started new collaborations with Hedden involving 1) a project to use my (with Vela-Vick, Vertesi) BRAID version of the transverse invariant in knot Floer homology to prove that the rank of HFK reduced gives a bound on the fractional Dehn twist coefficients of braid representatives of a given knot. In particular, we believe that rkHFK_red(K,a) bounds the FDTCs of braid representatives of K with sl=2a-1, and 2) a project to compute the Heegaard Floer homology of the union of two manifolds with torus boundaries by computing a cube of resolutions complex where all the higher polygon counting takes place on the torus (and therefore ought to be computable).

John Baldwin Assistant Professor
Mathematics, Boston College

This workshop definitely helped me to continue my research with Baptiste Chantraine on positive contact isotopies. It also revealed me interesting questions around foliation theory and I was able to exchange a lot with Rachel Roberts and Will Kazez on these.

Vincent Colin Laboratoire de mathématiques Jean Leray, Université de Nantes