τ–invariants for knots in rational homology spheres

Raoux, Katherine

doi:10.2140/agt.2020.20.1601

Download this article
	For screen
	For printing

Recent Issues

The Journal

About the Journal

Editorial Board

Editorial Interests

Subscriptions

Submission Guidelines

Submission Page

Policies for Authors

Ethics Statement

ISSN (electronic): 1472-2739

ISSN (print): 1472-2747

Author Index

To Appear

Other MSP Journals

This article is available for purchase or by subscription. See below.

$\tau$–invariants for knots in rational homology spheres

Katherine Raoux

Algebraic & Geometric Topology 20 (2020) 1601–1640

DOI: 10.2140/agt.2020.20.1601

Abstract

Ozsváth and Szabó used the knot filtration on $\hat{CF} (S^{3})$ 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 $Y$ .

PDF Access Denied

However, your active subscription may be available on Project Euclid at
https://projecteuclid.org/agt

We have not been able to recognize your IP address 3.235.191.87 as that of a subscriber to this journal.
Online access to the content of recent issues is by subscription, or purchase of single articles.

Please contact your institution's librarian suggesting a subscription, for example by using our journal-recommendation form. Or, visit our subscription page for instructions on purchasing a subscription.

You may also contact us at contact@msp.org
or by using our contact form.

Or, you may purchase this single article for USD 40.00:

Keywords

Heegaard Floer, knot invariants, genus bound, rational homology spheres

Mathematical Subject Classification 2010

Primary: 57M27

Secondary: 57R58

References

Publication

Received: 12 December 2016

Revised: 20 May 2019

Accepted: 8 November 2019

Published: 20 July 2020

Authors

Katherine Raoux
Department of Mathematics Michigan State University East Lansing, MI United States

Volume 20, issue 4 (2020)