Add to ORKGRacks and quandles are fundamental algebraic structures related to the topology of knots, braids, and the Yang-Baxter equation. We show that the cohomology groups usually associated with racks and quandles agree with the Quillen cohomology groups for the algebraic theories of racks and quandles, respectively. This makes available the entire range of tools that comes with a Quillen homology theory, such as long exact sequences (transitivity) and excision isomorphisms (flat base change)
A continuous cohomology theory for topological quandles is introduced, and compared to the algebraic...
A homology and cohomology theory for topological quandles are introduced. The relation between these...
Cocycles are constructed by polynomial expressions for Alexander quandles. As applications, non-triv...
Racks and quandles are fundamental algebraic structures related to the topology of knots, braids, an...
Quandle cohomology theory was developed [6] to define invariants, called quandle cocycle (knot) inva...
Abstract The quandle homology theory is generalized to the case when the coecient groups admit the s...
Quandle cohomology and quandle extension theory is developed by modifying group cohomology and group...
A quandle is a set with a binary operation that satisfies three axioms that corresponds to the three...
Quandles are distributive algebraic structures that were introduced by David Joyce [24] in his P...
Knot theory has rapidly expanded in recent years. New representations of braid groups led to an extr...
Quandles are distributive algebraic structures originally introduced independently by David ...
Contains fulltext : 83944.pdf (preprint version ) (Open Access
We give a foundational account on topological racks and quandles. Specifically, we define the notion...
We give a foundational account on topological racks and quandles. Specifically, we define the notion...
In knot theory several knot invariants have been found over the last decades. This paper concerns it...
A continuous cohomology theory for topological quandles is introduced, and compared to the algebraic...
A homology and cohomology theory for topological quandles are introduced. The relation between these...
Cocycles are constructed by polynomial expressions for Alexander quandles. As applications, non-triv...
Racks and quandles are fundamental algebraic structures related to the topology of knots, braids, an...
Quandle cohomology theory was developed [6] to define invariants, called quandle cocycle (knot) inva...
Abstract The quandle homology theory is generalized to the case when the coecient groups admit the s...
Quandle cohomology and quandle extension theory is developed by modifying group cohomology and group...
A quandle is a set with a binary operation that satisfies three axioms that corresponds to the three...
Quandles are distributive algebraic structures that were introduced by David Joyce [24] in his P...
Knot theory has rapidly expanded in recent years. New representations of braid groups led to an extr...
Quandles are distributive algebraic structures originally introduced independently by David ...
Contains fulltext : 83944.pdf (preprint version ) (Open Access
We give a foundational account on topological racks and quandles. Specifically, we define the notion...
We give a foundational account on topological racks and quandles. Specifically, we define the notion...
In knot theory several knot invariants have been found over the last decades. This paper concerns it...
A continuous cohomology theory for topological quandles is introduced, and compared to the algebraic...
A homology and cohomology theory for topological quandles are introduced. The relation between these...
Cocycles are constructed by polynomial expressions for Alexander quandles. As applications, non-triv...