Floer theoretic invariants for 3- and 4-manifolds

Yi-Jen Lee

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arXiv · 1709.02551

Floer theoretic invariants for 3- and 4-manifolds

Yi-Jen Lee

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Abstract

Seiberg-Witten (Floer) theory, Ozsvath-Szabo's Heegaard Floer theory, Hutchings's embedded contact homology, in different stages of development, define (or are expected to define) packages of invariants for 3- and 4-manifolds (including manifolds with boundary and manifolds with certain types of corners). We describe what are known about their relationship, what are expected, and raise some questions along the way.

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Yi-Jen Lee. 2017-09-08. Floer theoretic invariants for 3- and 4-manifolds. https://arxiv.org/abs/1709.02551

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