On the slice genus of links
Geometric Topology
2015-12-22 v1
Abstract
We define Casson-Gordon sigma-invariants for links and give a lower bound of the slice genus of a link in terms of these invariants. We study as an example a family of two component links of genus h and show that their slice genus is h, whereas the Murasugi-Tristram inequality does not obstruct this link from bounding an annulus in the 4-ball.
Keywords
Cite
@article{arxiv.math/0311136,
title = {On the slice genus of links},
author = {Vincent Florens and Patrick M. Gilmer},
journal= {arXiv preprint arXiv:math/0311136},
year = {2015}
}
Comments
Published by Algebraic and Geometric Topology at http://www.maths.warwick.ac.uk/agt/AGTVol3/agt-3-30.abs.html