Gary Guth
PhD Candidate at the University of Oregon

My current research aims to apply techniques from Heegaard Floer homology to study knots and surfaces in 3- and 4-manifolds.

Papers and Preprints

Ribbon Homology Cobordisms and Link Floer homology.
  • We make use of link Floer homology to study cobordisms between links embedded in 4-dimensional ribbon homology cobordisms. Combining results of Daemi--Lidman--Vela-Vick--Wong and Zemke, we show that ribbon homology concordances induce split injections on the minus version of link Floer homology. We also make use of reduced link Floer homology to give restrictions on the number of critical points in ribbon homology concordances.