THE COLUMN GROUP AND ITS LINK INVARIANTS-Reference-Cited by-同舟云学术

THE COLUMN GROUP AND ITS LINK INVARIANTS

Published:2012-04-07 Issue:07 Volume:21 Page:1250063
ISSN:0218-2165
Container-title:Journal of Knot Theory and Its Ramifications
language:en
Short-container-title:J. Knot Theory Ramifications

Author:

HENNIG JOHANNA¹,NELSON SAM²

Affiliation:

1. Department of Mathematics, University of California, San Diego, 9500 Gilman Dr. #0112, La Jolla, CA 92093-0112, USA

2. Department of Mathematical Sciences, Claremont McKenna College, 850 Columbia Ave., Claremont, CA 91711, USA

Abstract

The column group is a subgroup of the symmetric group on the elements of a finite birack generated by the column permutations in the birack matrix. We use subgroups of the column group associated to birack homomorphisms to define an enhancement of the integral birack counting invariant and give examples which show that the enhanced invariant is stronger than the unenhanced invariant.

Publisher

World Scientific Pub Co Pte Lt

Subject

Algebra and Number Theory

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218216512500630

Reference15 articles.

1. Tangle Embeddings and Quandle Cocycle Invariants

2. Homology theory for the set-theoretic Yang–Baxter equation and knot invariants from generalizations of quandles

3. Quandle cohomology and state-sum invariants of knotted curves and surfaces

4. Biquandles and virtual links

5. RACKS AND LINKS IN CODIMENSION TWO

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