Download this article
Download this article For screen
For printing
Recent Issues

Volume 28
Issue 6, 2483–2999
Issue 5, 1995–2482
Issue 4, 1501–1993
Issue 3, 1005–1499
Issue 2, 497–1003
Issue 1, 1–496

Volume 27, 9 issues

Volume 26, 8 issues

Volume 25, 7 issues

Volume 24, 7 issues

Volume 23, 7 issues

Volume 22, 7 issues

Volume 21, 6 issues

Volume 20, 6 issues

Volume 19, 6 issues

Volume 18, 5 issues

Volume 17, 5 issues

Volume 16, 4 issues

Volume 15, 4 issues

Volume 14, 5 issues

Volume 13, 5 issues

Volume 12, 5 issues

Volume 11, 4 issues

Volume 10, 4 issues

Volume 9, 4 issues

Volume 8, 3 issues

Volume 7, 2 issues

Volume 6, 2 issues

Volume 5, 2 issues

Volume 4, 1 issue

Volume 3, 1 issue

Volume 2, 1 issue

Volume 1, 1 issue

The Journal
About the Journal
Editorial Board
Editorial Procedure
Subscriptions
 
Submission Guidelines
Submission Page
Policies for Authors
Ethics Statement
 
ISSN 1364-0380 (online)
ISSN 1465-3060 (print)
Author Index
To Appear
 
Other MSP Journals
Instanton Floer homology of almost-rational plumbings

Antonio Alfieri, John A Baldwin, Irving Dai and Steven Sivek

Geometry & Topology 26 (2022) 2237–2294
Abstract

We show that if Y is the boundary of an almost-rational plumbing, then the framed instanton Floer homology I#(Y ) is isomorphic to the Heegaard Floer homology HF^(Y ; ). This class of 3–manifolds includes all Seifert fibered rational homology spheres with base orbifold S2 (we establish the isomorphism for the remaining Seifert fibered rational homology spheres — with base 2 — directly). Our proof utilizes lattice homology, and relies on a decomposition theorem for instanton Floer cobordism maps recently established by Baldwin and Sivek.

Keywords
instanton Floer homology, Heegaard Floer homology, lattice homology, plumbings
Mathematical Subject Classification
Primary: 57R58
References
Publication
Received: 13 October 2020
Revised: 4 May 2021
Accepted: 4 June 2021
Published: 12 December 2022
Proposed: Ciprian Manolescu
Seconded: András I Stipsicz, Simon Donaldson
Authors
Antonio Alfieri
Department of Mathematics
University of British Columbia
Vancouver, BC
Canada
John A Baldwin
Department of Mathematics
Boston College
Chestnut Hill, MA
United States
Irving Dai
Department of Mathematics
Stanford University
Stanford, CA
United States
Steven Sivek
Department of Mathematics
Imperial College London
London
United Kingdom
Max Planck Institute for Mathematics
Bonn
Germany