Grid diagrams and the Ozsvath-Szabo tau-invariant
Geometric Topology
2012-11-26 v3
Abstract
We use grid diagrams to investigate the Ozsvath-Szabo concordance invariant tau, and to prove that |tau(K_1)-tau(K_2)|<=g, whenever there is a genus g knot cobordism joining K_1 to K_2. This leads to an entirely grid diagram-based proof of Kronheimer-Mrowka's theorem, formerly known as the Milnor conjecture.
Keywords
Cite
@article{arxiv.1011.5265,
title = {Grid diagrams and the Ozsvath-Szabo tau-invariant},
author = {Sucharit Sarkar},
journal= {arXiv preprint arXiv:1011.5265},
year = {2012}
}
Comments
19 pages, 11 figures