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arxiv: 2305.01646 · v2 · pith:R5P3LPGS · submitted 2023-05-02 · math.SG

A connected sum formula for embedded contact homology

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classification math.SG
keywords contactconnectedembeddedformulahomologyattachmentbehaveclosed
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Given two closed contact three-manifolds, one can form their contact connected sum via the Weinstein one-handle attachment. We study how pseudo-holomorphic curves in the symplectization behave under this operation. As a result, we give a connected sum formula for embedded contact homology.

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