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Knot Quandle Decompositions.
- 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