Longitude Floer homology and the Whitehead double
Geometric Topology
2014-10-01 v4 Algebraic Topology
Abstract
We define the longitude Floer homology of a knot K in S^3 and show that it is a topological invariant of K. Some basic properties of these homology groups are derived. In particular, we show that they distinguish the genus of K. We also make explicit computations for the (2,2n+1) torus knots. Finally a correspondence between the longitude Floer homology of K and the Ozsvath-Szabo Floer homology of its Whitehead double K_L is obtained.
Keywords
Cite
@article{arxiv.math/0407211,
title = {Longitude Floer homology and the Whitehead double},
author = {Eaman Eftekhary},
journal= {arXiv preprint arXiv:math/0407211},
year = {2014}
}
Comments
Published by Algebraic and Geometric Topology at http://www.maths.warwick.ac.uk/agt/AGTVol5/agt-5-54.abs.html