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

J. Scott Carter; Mohamed Elhamdadi; Masahico Saito

Fundamenta Mathematicae (2004)

  • Volume: 184, Issue: 1, page 31-54
  • ISSN: 0016-2736

Abstract

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A homology theory is developed for set-theoretic Yang-Baxter equations, and knot invariants are constructed by generalized colorings by biquandles and Yang-Baxter cocycles.

How to cite

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J. Scott Carter, Mohamed Elhamdadi, and Masahico Saito. "Homology theory for the set-theoretic Yang-Baxter equation and knot invariants from generalizations of quandles." Fundamenta Mathematicae 184.1 (2004): 31-54. <http://eudml.org/doc/282699>.

@article{J2004,
abstract = {A homology theory is developed for set-theoretic Yang-Baxter equations, and knot invariants are constructed by generalized colorings by biquandles and Yang-Baxter cocycles.},
author = {J. Scott Carter, Mohamed Elhamdadi, Masahico Saito},
journal = {Fundamenta Mathematicae},
keywords = {knots; set-theoretic Yang-Baxter equation; homology; virtual links; biquandles},
language = {eng},
number = {1},
pages = {31-54},
title = {Homology theory for the set-theoretic Yang-Baxter equation and knot invariants from generalizations of quandles},
url = {http://eudml.org/doc/282699},
volume = {184},
year = {2004},
}

TY - JOUR
AU - J. Scott Carter
AU - Mohamed Elhamdadi
AU - Masahico Saito
TI - Homology theory for the set-theoretic Yang-Baxter equation and knot invariants from generalizations of quandles
JO - Fundamenta Mathematicae
PY - 2004
VL - 184
IS - 1
SP - 31
EP - 54
AB - A homology theory is developed for set-theoretic Yang-Baxter equations, and knot invariants are constructed by generalized colorings by biquandles and Yang-Baxter cocycles.
LA - eng
KW - knots; set-theoretic Yang-Baxter equation; homology; virtual links; biquandles
UR - http://eudml.org/doc/282699
ER -

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