Contents Online
Mathematical Research Letters
Volume 18 (2011)
Number 6
Grid diagrams and the Ozsváth-Szabó tau-invariant
Pages: 1239 – 1257
DOI: https://dx.doi.org/10.4310/MRL.2011.v18.n6.a13
Author
Abstract
We use grid diagrams to investigate the \Ozsvath-\Szabo{} concordance invariant $\tau$, and to prove that $\left|\tau(K_1)-\tau(K_2)\right|\leq g$, 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.
Published 20 February 2012