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2010 Comultiplication in link Floer homology and transversely nonsimple links
John A Baldwin
Algebr. Geom. Topol. 10(3): 1417-1436 (2010). DOI: 10.2140/agt.2010.10.1417

Abstract

For a word w in the braid group Bn, we denote by Tw the corresponding transverse braid in (3,ξrot). We exhibit, for any two g,hBn, a “comultiplication” map on link Floer homology Φ̃:HFL˜(m(Thg))HFL˜(m(Tg#Th)) which sends θ̃(Thg) to θ̃(Tg#Th). We use this comultiplication map to generate infinitely many new examples of prime topological link types which are not transversely simple.

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John A Baldwin. "Comultiplication in link Floer homology and transversely nonsimple links." Algebr. Geom. Topol. 10 (3) 1417 - 1436, 2010. https://doi.org/10.2140/agt.2010.10.1417

Information

Received: 19 October 2009; Revised: 16 February 2010; Accepted: 21 February 2010; Published: 2010
First available in Project Euclid: 19 December 2017

zbMATH: 1203.57004
MathSciNet: MR2661532
Digital Object Identifier: 10.2140/agt.2010.10.1417

Subjects:
Primary: 57M27, 57R17

Rights: Copyright © 2010 Mathematical Sciences Publishers

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Vol.10 • No. 3 • 2010
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