On the slice genus of links

Details On the slice genus of links On the slice genus of links

2003-11-09

arxiv.org/abs/math/0311136v1

Algebr. Geom. Topol. 3 (2003) 905-920

Mathematics

Geometric Topology

Published by Algebraic and Geometric Topology at http://www.maths.warwick.ac.uk/agt/AGTVol3/agt-3-30.abs.html

Scientific paper

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.

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