#### Volume 3, issue 2 (2003)

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On the slice genus of links

### Vincent Florens and Patrick M Gilmer

Algebraic & Geometric Topology 3 (2003) 905–920
 arXiv: math.GT/0311136
##### 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.