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Instanton Floer homology
of almost-rational plumbings
Antonio Alfieri, John A Baldwin, Irving Dai and Steven Sivek |
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Geometry & Topology 26 (2022) 2237–2294
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Abstract |
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We show that if is the boundary of an almost-rational plumbing, then the framed instanton Floer homology is isomorphic to the Heegaard Floer homology . This class of –manifolds includes all Seifert fibered rational homology spheres with base orbifold (we establish the isomorphism for the remaining Seifert fibered rational homology spheres — with base — 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
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Mathematical Subject Classification
Primary: 57R58
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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
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Authors |
| Antonio Alfieri | |
| Department of Mathematics University of British Columbia Vancouver, BC Canada |
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| John A Baldwin | |
| Department of Mathematics Boston College Chestnut Hill, MA United States |
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| Irving Dai | |
| Department of Mathematics Stanford University Stanford, CA United States |
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| Steven Sivek | |
| Department of Mathematics Imperial College London London United Kingdom |
Max Planck Institute for
Mathematics Bonn Germany |
