Triple Linking Numbers and Heegaard Floer Homology-Reference-Cited by-同舟云学术

Triple Linking Numbers and Heegaard Floer Homology

Published:2022-01-24 Issue: Volume: Page:
ISSN:1073-7928
Container-title:International Mathematics Research Notices
language:en
Short-container-title:

Author:

Gorsky Eugene¹,Lidman Tye²,Liu Beibei³,Moore Allison H⁴

Affiliation:

1. Department of Mathematics, University of California, Davis, One Shields Avenue, Davis, CA 95616, USA

2. Department of Mathematics, North Carolina State University, Raleigh, NC 27607, USA

3. School of Mathematics, Georgia Institute of Technology, Atlanta, GA 30332, USA

4. Department of Mathematics and Applied Mathematics, Virginia Commonwealth University, 1015 Floyd Avenue, Box 842014, Richmond, VA 23284-2014, USA

Abstract

Abstract We establish some new relationships between Milnor invariants and Heegaard Floer homology. This includes a formula for the Milnor triple linking number from the link Floer complex, detection results for the Whitehead link and Borromean rings, and a structural property of the $d$-invariants of surgeries on certain algebraically split links.

Publisher

Oxford University Press (OUP)

Subject

General Mathematics

Link

https://academic.oup.com/imrn/advance-article-pdf/doi/10.1093/imrn/rnab368/42269032/rnab368.pdf

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