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Alissa S. Crans, Sam Nelson, and Aparna Sarkar
Enhancements of rack counting invariants via dynamical cocycles view print
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| Published: |
May 22, 2012 |
| Keywords: |
Dynamical cocycles, enhancements of counting invariants, cocycle invariants |
| Subject: |
57M27, 57M25 |
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Abstract
We introduce the notion of N-reduced dynamical cocycles
and use these objects to define enhancements of the rack counting
invariant for classical and virtual knots and links. We provide
examples to show that the new invariants are not determined by the
rack counting invariant, the Jones polynomial or the generalized
Alexander polynomial.
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| Author information
Alissa S. Crans:
Department of Mathematics, Loyola Marymount University, Los Angeles, CA 90045
acrans@lmu.edu
Sam Nelson:
Department of Mathematics, Claremont McKenna College, Claremont, CA 91711
knots@esotericka.org
Aparna Sarkar:
Department of Mathematics, Pomona College, Claremont, CA 91711
as072010@mymail.pomona.edu
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