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Knot Quandle Decompositions.

Authors :
Cattabriga, A.
Horvat, E.
Source :
Mediterranean Journal of Mathematics; Jun2020, Vol. 17 Issue 3, p1-22, 22p
Publication Year :
2020

Abstract

We show that the fundamental quandle defines a functor from the oriented tangle category to a suitably defined quandle category. Given a tangle decomposition of a link L, the fundamental quandle of L may be obtained from the fundamental quandles of tangles. We apply this result to derive a presentation of the fundamental quandle of periodic links, composite knots and satellite knots. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
16605446
Volume :
17
Issue :
3
Database :
Complementary Index
Journal :
Mediterranean Journal of Mathematics
Publication Type :
Academic Journal
Accession number :
143444933
Full Text :
https://doi.org/10.1007/s00009-020-01530-6