Connected Heegaard Floer homology of sums of Seifert fibrations

Dai, Irving

doi:10.2140/agt.2019.19.2535

Download this article
	For screen
	For printing

Recent Issues

The Journal

About the Journal

Editorial Board

Editorial Interests

Subscriptions

Submission Guidelines

Submission Page

Policies for Authors

Ethics Statement

ISSN (electronic): 1472-2739

ISSN (print): 1472-2747

Author Index

To Appear

Other MSP Journals

This article is available for purchase or by subscription. See below.

Connected Heegaard Floer homology of sums of Seifert fibrations

Irving Dai

Algebraic & Geometric Topology 19 (2019) 2535–2574

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.

PDF Access Denied

We have not been able to recognize your IP address 3.21.100.34 as that of a subscriber to this journal.
Online access to the content of recent issues is by subscription, or purchase of single articles.

Please contact your institution's librarian suggesting a subscription, for example by using our journal-recommendation form. Or, visit our subscription page for instructions on purchasing a subscription.

You may also contact us at contact@msp.org
or by using our contact form.

Or, you may purchase this single article for USD 40.00:

Keywords

homology cobordism, involutive Heegaard Floer homology, connected Heegaard Floer homology

Mathematical Subject Classification 2010

Primary: 57M27, 57R58

References

Publication

Received: 4 May 2018

Revised: 8 October 2018

Accepted: 30 October 2018

Published: 20 October 2019

Authors

Irving Dai
Department of Mathematics Princeton University Princeton, NJ United States

Volume 19, issue 5 (2019)