Transverse string topology and the cord algebra
Geometric Topology
2015-12-29 v3 Algebraic Topology
Symplectic Geometry
Abstract
We define a coalgebra structure for open strings transverse to any framed codimension 2 submanifold. When the submanifold is a knot in R^3, we show this structure recovers a specialization of the Ng cord algebra, a non-trivial knot invariant which is not determined by a number of other knot invariants.
Cite
@article{arxiv.1210.5722,
title = {Transverse string topology and the cord algebra},
author = {Somnath Basu and Jason McGibbon and Dennis Sullivan and Michael Sullivan},
journal= {arXiv preprint arXiv:1210.5722},
year = {2015}
}
Comments
12 pages, 4 figures