#### Volume 10, issue 3 (2010)

 Recent Issues
 The Journal About the Journal Editorial Board Editorial Interests Editorial Procedure Submission Guidelines Submission Page Subscriptions Author Index To Appear Contacts ISSN (electronic): 1472-2739 ISSN (print): 1472-2747

### John A Baldwin

Algebraic & Geometric Topology 10 (2010) 1417–1436
##### Abstract

For a word $w$ in the braid group ${B}_{n}$, we denote by ${T}_{w}$ the corresponding transverse braid in $\left({ℝ}^{3},{\xi }_{rot}\right)$. We exhibit, for any two $g,h\in {B}_{n}$, a “comultiplication” map on link Floer homology $\stackrel{̃}{\Phi }:\stackrel{˜}{\mathit{HFL}}\left(m\left({T}_{hg}\right)\right)\to \stackrel{˜}{\mathit{HFL}}\left(m\left({T}_{g}#{T}_{h}\right)\right)$ which sends $\stackrel{̃}{\theta }\left({T}_{hg}\right)$ to $\stackrel{̃}{\theta }\left({T}_{g}#{T}_{h}\right)$. We use this comultiplication map to generate infinitely many new examples of prime topological link types which are not transversely simple.

##### Keywords
knot, link, transverse, knot Floer homology, contact structure, Heegaard Floer
##### Mathematical Subject Classification 2000
Primary: 57M27, 57R17