Bialgebraic approach to rack cohomology
نویسندگان
چکیده
We interpret the complexes defining rack cohomology in terms of a certain differential graded bialgebra. This yields elementary algebraic proofs old and new structural results for this theory. For instance, we exhibit two explicit homotopies controlling structure defects on cochain level: one commutativity defect cup product, other "Zinbielity" dendriform structure. also show that, quandle, product restricts to, Zinbiel descends to quandle cohomology. Finally, with suitable coefficients, complete compatible coproduct.
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ژورنال
عنوان ژورنال: Algebraic & Geometric Topology
سال: 2023
ISSN: ['1472-2739', '1472-2747']
DOI: https://doi.org/10.2140/agt.2023.23.1551