arXiv:math/0311136 [math.GT]AbstractReferencesReviewsResources
On the slice genus of links
Vincent Florens, Patrick M. Gilmer
Published 2003-11-09Version 1
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.
Comments: Published by Algebraic and Geometric Topology at http://www.maths.warwick.ac.uk/agt/AGTVol3/agt-3-30.abs.html
Journal: Algebr. Geom. Topol. 3 (2003) 905-920
Categories: math.GT
Keywords: slice genus, define casson-gordon sigma-invariants, lower bound, component links, murasugi-tristram inequality
Tags: journal article
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