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2014 Invariants of links in thickened surfaces
J Scott Carter, Daniel S Silver, Susan G Williams
Algebr. Geom. Topol. 14(3): 1377-1394 (2014). DOI: 10.2140/agt.2014.14.1377

Abstract

A group invariant for links in thickened closed orientable surfaces is studied. Associated polynomial invariants are defined. The group detects the nontriviality of a virtual link and determines its virtual genus.

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J Scott Carter. Daniel S Silver. Susan G Williams. "Invariants of links in thickened surfaces." Algebr. Geom. Topol. 14 (3) 1377 - 1394, 2014. https://doi.org/10.2140/agt.2014.14.1377

Information

Received: 16 April 2013; Accepted: 10 September 2013; Published: 2014
First available in Project Euclid: 19 December 2017

zbMATH: 1326.57008
MathSciNet: MR3190597
Digital Object Identifier: 10.2140/agt.2014.14.1377

Subjects:
Primary: 57M25
Secondary: 20E22

Keywords: knot , link , operator group , virtual genus , virtual link

Rights: Copyright © 2014 Mathematical Sciences Publishers

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