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2020 $\tau$–invariants for knots in rational homology spheres
Katherine Raoux
Algebr. Geom. Topol. 20(4): 1601-1640 (2020). DOI: 10.2140/agt.2020.20.1601

Abstract

Ozsváth and Szabó used the knot filtration on CF̂(S3) to define the τ–invariant for knots in the 3–sphere. We generalize their construction and define a collection of τ–invariants associated to a knot K in a rational homology sphere Y. We then show that some of these invariants provide lower bounds for the genus of a surface with boundary K properly embedded in a negative-definite 4–manifold with boundary Y.

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Katherine Raoux. "$\tau$–invariants for knots in rational homology spheres." Algebr. Geom. Topol. 20 (4) 1601 - 1640, 2020. https://doi.org/10.2140/agt.2020.20.1601

Information

Received: 12 December 2016; Revised: 20 May 2019; Accepted: 8 November 2019; Published: 2020
First available in Project Euclid: 1 August 2020

zbMATH: 07226701
MathSciNet: MR4127080
Digital Object Identifier: 10.2140/agt.2020.20.1601

Subjects:
Primary: 57M27
Secondary: 57R58

Rights: Copyright © 2020 Mathematical Sciences Publishers

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Vol.20 • No. 4 • 2020
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