Geodesic
On the slice genus of links
Florens, Vincent1 ; Gilmer, Patrick M2
1Laboratoire I.R.M.A., Université Louis Pasteur, Strasbourg, France
2Department of Mathematics, Louisiana State University, Baton Rouge LA 70803, USA
Algebraic and Geometric Topology, Tome 3 (2003) no. 2, pp. 905-920
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We define Casson–Gordon σ–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.

DOI : 10.2140/agt.2003.3.905
Keywords: Casson–Gordon invariants, link signatures

Florens, Vincent  1   ; Gilmer, Patrick M  2

1 Laboratoire I.R.M.A., Université Louis Pasteur, Strasbourg, France
2 Department of Mathematics, Louisiana State University, Baton Rouge LA 70803, USA 
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Florens, Vincent; Gilmer, Patrick M. On the slice genus of links. Algebraic and Geometric Topology, Tome 3 (2003) no. 2, pp. 905-920. doi: 10.2140/agt.2003.3.905

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