Instanton Floer homology of almost-rational plumbings
File(s)instantons.pdf (932.05 KB)
Accepted version
Author(s)
Alfieri, Antonio
Baldwin, John A
Dai, Irving
Sivek, Steven
Type
Journal Article
Abstract
We show that if Y is the boundary of an almost-rational plumbing, then the framed instant on Floer homology I# (Y) is isomorphic to the Heegaard Floer homology y HF (Y ; C). 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—withbaseRP2—directly). Our proof utilizes lattice homology, and relies on a decomposition theorem for instanton Floer cobordism maps recently established by Baldwin and Sivek.
Date Issued
2022-12-12
Date Acceptance
2021-06-05
Citation
Geometry and Topology, 2022, 26 (5), pp.2237-2294
ISSN
1364-0380
Publisher
Mathematical Sciences Publishers (MSP)
Start Page
2237
End Page
2294
Journal / Book Title
Geometry and Topology
Volume
26
Issue
5
Copyright Statement
© 2022 MSP. All rights reserved.
Identifier
https://doi.org/10.2140/gt.2022.26.2237
Publication Status
Published