Note on spherical quandles

Kentaro Yonemura

Note on spherical quandles

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arxiv 2104.04921 v3 pith:XMVRRASV submitted 2021-04-11 math.GT math.AT

Kentaro Yonemura This is my paper · ORCID

classification math.GTmath.AT

keywords givequandlessphericalaimscasson-lincoloringsconditioncorrespondence

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abstract

This paper aims to give a one-to-one correspondence between $SU(2)$-representations of knot groups and colorings of knots with spherical quandles and give a geometric meaning of the "trace-free" condition we need to define Casson-Lin invariant.

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Good involutions of conjugation subquandles
math.GT 2025-05 accept novelty 7.0 of 10

Good involutions of conjugation subquandles and core quandles are characterized by central-valued functions, with algorithms, enumeration data, new CNS-quandle families, and a category equivalence between racks and Le...

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