Trisections and Ozsvath-Szabo cobordism invariants

Abstract

Given a smooth, compact four-manifold X viewed as a cobordism from the empty set to its connected boundary, we demonstrate how to use the data of a trisection map π : X 4 → R 2 to compute the induced cobordism maps on Heegaard Floer homology associated to X. Contents 1. Introduction 1 2. Trisections of four-manifolds 3 3. Background on Heegaard Floer homology 6 4. Trisections and Ozsváth-Szabó cobordism invariants 8 Bibliography 20