arXiv Analytics

Sign in

arXiv:1807.08977 [math.GT]AbstractReferencesReviewsResources

On the knot quandle of a fibered knot, finiteness and equivalence of knot quandles

Ayumu Inoue

Published 2018-07-24Version 1

We show that the structure of a fibered knot, as a fiber bundle, is reflected in its knot quandle. As an application, we discuss finiteness and equivalence of knot quandles of concrete fibered 2-knots.

Comments: 7 pages, 3 figures
Categories: math.GT
Subjects: 57Q45, 57M25, 57M27
Related articles: Most relevant | Search more
arXiv:1911.05776 [math.GT] (Published 2019-11-13)
On the Upsilon invariant of fibered knots and right-veering open books
arXiv:2004.07445 [math.GT] (Published 2020-04-16)
Braids, fibered knots, and concordance questions
arXiv:math/0512099 [math.GT] (Published 2005-12-05)
Inequivalent surface-knots with the same knot quandle

Links

Toolbox