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 $\pi :X^4\to {\mathbb{D}}^2$ to compute the induced cobordism maps on Heegaard Floer homology associated to $X$.

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