= Zoltán Szabó
{c}
<Zoltán Szabó> co-developed <Heegaard Floer homology> with <Peter Ozsváth>. The theory obtains invariants of a three-manifold by turning a <Heegaard splitting> into a Floer-theoretic chain complex.https://math.berkeley.edu/about/upcoming-events/lecture-series/chern-lectures/2010-chern-lectures[Institutional account of joint discovery]{ref}
Their <Holomorphic triangles and invariants for smooth four-manifolds by Peter Ozsváth and Zoltán Szabó> extends the framework through <Heegaard Floer cobordism maps>. Compatibility under gluing lets data from pieces combine into an invariant of a closed smooth four-manifold, while blowup formulas describe its behavior under a controlled geometric modification.<Holomorphic triangles and invariants for smooth four-manifolds by Peter Ozsváth and Zoltán Szabó>[Abstract, Theorem 3.7 and section 10.1]{ref}
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