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Multivariate Quandles as Groupoid Invariants

Arsiwalla, Xerxes D. et al.
arXiv (All) · Papers
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algebraic-topologycategory-theorygeometric-topologyrings-and-algebras
We introduce a new structural framework for constructing multivariate Alexander quandles based on a groupoid ${\cal G}$, composed of a disjoint union of delooping groupoids of deck groups. Compared to standard Alexander modules over group rings ${\mathbb{Z}}[{\mathbb{Z}}]$, the multivariate version
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