Cocycles are constructed by polynomial expressions for Alexander quandles. As applications, non-triviality of some quandle homology groups are proved, and quandle cocycle invariants of knots are studied. In particular, for an infinite family of quandles, the non-triviality of quandle homology groups is proved for all odd dimensions
Title: Selfdistributive Algebras and Knots Author: Hana Holmes Department: Department of Algebra Sup...
AbstractWe introduce the concept of the quandle partial derivatives, and use them to define extreme ...
AbstractWe calculate some quandle cohomology groups; the rational cohomology groups of any finite Al...
Cocycles are constructed by polynomial expressions for Alexander quandles. As applications, non-triv...
Abstract The quandle homology theory is generalized to the case when the coecient groups admit the s...
A quandle is a set with a binary operation that satisfies three axioms that corresponds to the three...
Knot theory has rapidly expanded in recent years. New representations of braid groups led to an extr...
We explore a knot invariant derived from colorings of corresponding 1-tangles with arbitrary connect...
Quandle 2-cocycles define invariants of classical and virtual knots, and extensions of quandles. We ...
Quandle cohomology and quandle extension theory is developed by modifying group cohomology and group...
AbstractLower bounds for the Betti numbers for homology groups of racks and quandles will be given u...
Quandle cohomology theory was developed [6] to define invariants, called quandle cocycle (knot) inva...
Quandles are distributive algebraic structures that were introduced by David Joyce [24] in his P...
Defined in [6, 10], the fundamental quandle is a complete invariant of oriented classical knots. We ...
Geometric representations of cycles in quandle homology theory are given in terms of colored knot di...
Title: Selfdistributive Algebras and Knots Author: Hana Holmes Department: Department of Algebra Sup...
AbstractWe introduce the concept of the quandle partial derivatives, and use them to define extreme ...
AbstractWe calculate some quandle cohomology groups; the rational cohomology groups of any finite Al...
Cocycles are constructed by polynomial expressions for Alexander quandles. As applications, non-triv...
Abstract The quandle homology theory is generalized to the case when the coecient groups admit the s...
A quandle is a set with a binary operation that satisfies three axioms that corresponds to the three...
Knot theory has rapidly expanded in recent years. New representations of braid groups led to an extr...
We explore a knot invariant derived from colorings of corresponding 1-tangles with arbitrary connect...
Quandle 2-cocycles define invariants of classical and virtual knots, and extensions of quandles. We ...
Quandle cohomology and quandle extension theory is developed by modifying group cohomology and group...
AbstractLower bounds for the Betti numbers for homology groups of racks and quandles will be given u...
Quandle cohomology theory was developed [6] to define invariants, called quandle cocycle (knot) inva...
Quandles are distributive algebraic structures that were introduced by David Joyce [24] in his P...
Defined in [6, 10], the fundamental quandle is a complete invariant of oriented classical knots. We ...
Geometric representations of cycles in quandle homology theory are given in terms of colored knot di...
Title: Selfdistributive Algebras and Knots Author: Hana Holmes Department: Department of Algebra Sup...
AbstractWe introduce the concept of the quandle partial derivatives, and use them to define extreme ...
AbstractWe calculate some quandle cohomology groups; the rational cohomology groups of any finite Al...
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