L-space knots are fibered and strongly quasipositive

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Title: L-space knots are fibered and strongly quasipositive
Authors: Baldwin, JA
Sivek, S
Item Type: Conference Paper
Abstract: We give a new, conceptually simpler proof of the fact that knots in S3 with positive L-space surgeries are fibered and strongly quasipositive. Our motivation for doing so is that this new proof uses comparatively little Heegaard Floer-specific machinery and can thus be translated to other forms of Floer homology. We carried this out for instanton Floer homology in our recent article "Instantons and L-space surgeries", and used it to generalize Kronheimer and Mrowka's results on SU(2) representations of fundamental groups of Dehn surgeries.
Date of Acceptance: 29-Apr-2021
ISSN: 2329-9061
Publisher: Mathematical Sciences Publishers
Journal / Book Title: The Open Book Series
Copyright Statement: This paper is embargoed until publication.
Conference Name: Interactions of gauge theory with contact and symplectic topology in dimensions 3 and 4
Keywords: math.GT
Publication Status: Accepted
Start Date: 2020-06-07
Finish Date: 2020-06-12
Conference Place: Virtual
Embargo Date: publication subject to indefinite embargo
Appears in Collections:Pure Mathematics