Contents Online

# Journal of Symplectic Geometry

## Volume 13 (2015)

### Number 1

### Transverse string topology and the cord algebra

Pages: 1 – 16

DOI: https://dx.doi.org/10.4310/JSG.2015.v13.n1.a1

#### Authors

#### Abstract

We define a coalgebra structure for open strings transverse to any framed codimension $2$ submanifold $K \subset M$. When the submanifold is a knot in $\mathbb{R}^3$; we show this structure recovers a specialization of Ng cord algebra, a non-trivial knot invariant which is not determined by a number of other knot invariants.

Published 8 April 2015