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Invariants of links in
thickened surfaces
J Scott Carter, Daniel S Silver and Susan G Williams |
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Algebraic & Geometric Topology 14 (2014) 1377–1394
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Abstract |
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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. |
Keywords
knot, link, operator group, virtual link, virtual genus
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Mathematical Subject Classification 2010
Primary: 57M25
Secondary: 20E22
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References |
Publication
Received: 16 April 2013
Accepted: 10 September 2013
Published: 7 April 2014
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Authors |
| J Scott Carter | |
| Department of Mathematics and
Statistics University of South Alabama ILB 325 411 University Boulevard North Mobile, AL 36688 USA |
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| http://www.southalabama.edu/mathstat/people/carter.shtml/ | |
| Daniel S Silver | |
| Department of Mathematics and
Statistics University of South Alabama ILB 325 411 University Boulevard North Mobile, AL 36688 USA |
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| http://www.southalabama.edu/mathstat/people/silver.shtml/ | |
| Susan G Williams | |
| Department of Mathematics and
Statistics University of South Alabama ILB325 411 University Boulevard North Mobile, AL 36688 USA |
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| http://www.southalabama.edu/mathstat/people/williams.shtml/ | |
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