Comultiplication in link Floer homology and transversely nonsimple links

Baldwin, John A

doi:10.2140/agt.2010.10.1417

Baldwin, John A ¹

¹Department of Mathematics, Princeton University, Princeton, NJ 08544-1000

Algebraic and Geometric Topology, Tome 10 (2010) no. 3, pp. 1417-1436

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Résumé

For a word w in the braid group Bn, we denote by Tw the corresponding transverse braid in (ℝ3,ξrot). We exhibit, for any two g,h ∈ Bn, 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.

DOI : 10.2140/agt.2010.10.1417

Keywords: knot, link, transverse, knot Floer homology, contact structure, Heegaard Floer

Affiliations des auteurs :

Baldwin, John A ¹

¹ Department of Mathematics, Princeton University, Princeton, NJ 08544-1000

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Baldwin, John A. Comultiplication in link Floer homology and transversely nonsimple links. Algebraic and Geometric Topology, Tome 10 (2010) no. 3, pp. 1417-1436. doi: 10.2140/agt.2010.10.1417

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