Holomorphic triangles and invariants for smooth four-manifolds

Peter S Ozsvath; Zoltan Szabo

Holomorphic triangles and invariants for smooth four-manifolds

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arxiv math/0110169 v2 pith:MVD4LH5A submitted 2001-10-16 math.SG math.GT

Peter S Ozsvath , Zoltan Szabo This is my paper · ORCID

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keywords floerfour-manifoldsholomorphichomologyinvariantsmathsmooththeories

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The aim of this article is to introduce invariants of oriented, smooth, closed four-manifolds, built using the Floer homology theories defined in two earlier papers (math.SG/0101206 and math.SG/0105202). This four-dimensional theory also endows the corresponding three-dimensional theories with additional structure: an absolute grading of certain of its Floer homology groups. The cornerstone of these constructions is the study of holomorphic disks in the symmetric products of Riemann surfaces.

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Bordered Heegaard Floer modules for satellite operations using planar graphs
math.GT 2025-06 conditional novelty 7.0 of 10

Weighted A∞-modules for (p,1)-cables over the bordered torus algebra are built by counting planar graphs, their A∞ relations are verified combinatorially, and the associated type D modules are proven unique.

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