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2019 Connected Heegaard Floer homology of sums of Seifert fibrations
Irving Dai
Algebr. Geom. Topol. 19(5): 2535-2574 (2019). DOI: 10.2140/agt.2019.19.2535

Abstract

We compute the connected Heegaard Floer homology (defined by Hendricks, Hom, and Lidman) for a large class of 3–manifolds, including all linear combinations of Seifert fibered homology spheres. We show that for such manifolds, the connected Floer homology completely determines the local equivalence class of the associated ι–complex. Some identities relating the rank of the connected Floer homology to the Rokhlin invariant and the Neumann–Siebenmann invariant are also derived. Our computations are based on combinatorial models inspired by the work of Némethi on lattice homology.

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Irving Dai. "Connected Heegaard Floer homology of sums of Seifert fibrations." Algebr. Geom. Topol. 19 (5) 2535 - 2574, 2019. https://doi.org/10.2140/agt.2019.19.2535

Information

Received: 4 May 2018; Revised: 8 October 2018; Accepted: 30 October 2018; Published: 2019
First available in Project Euclid: 26 October 2019

zbMATH: 07142612
MathSciNet: MR4023322
Digital Object Identifier: 10.2140/agt.2019.19.2535

Subjects:
Primary: 57M27, 57R58

Rights: Copyright © 2019 Mathematical Sciences Publishers

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Vol.19 • No. 5 • 2019
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