On the slice genus of links

Vincent Florens; Patrick M Gilmer

doi:10.2140/agt.2003.3.905

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Home > Journals > Algebr. Geom. Topol. > Volume 3 > Issue 2 > Article

2003 On the slice genus of links

Vincent Florens, Patrick M Gilmer

Algebr. Geom. Topol. 3(2): 905-920 (2003). DOI: 10.2140/agt.2003.3.905

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Abstract

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.