arXiv Analytics

Sign in

arXiv:0709.1689 [math.GT]AbstractReferencesReviewsResources

Seifert surfaces, Commutators and Vassiliev invariants

Efstratia Kalfagianni, Xiao-Song Lin

Published 2007-09-11Version 1

We show that the Vassiliev invariants of a knot K, are obstructions to finding a regular Seifert surface, S, whose complement looks "simple" (e.g. like the complement of a disc) to the lower central series of its fundamental group.

Comments: 35 pages, 13 Figures. To appear in the J. of Knot Theory and its Ramifications (special volume in honor of L. Kauffman)
Journal: J. of Knot Theory and its Ramifications, Vol. 16, no. 10(2007), 1295-1329
Categories: math.GT, math.QA
Subjects: 57M25, 57N10
Related articles: Most relevant | Search more
arXiv:math/0312322 [math.GT] (Published 2003-12-17)
Dehn surgery, the fundamental group and SU(2)
arXiv:math/0103113 [math.GT] (Published 2001-03-18, updated 2005-08-19)
n-Quasi-isotopy: I. Questions of nilpotence
arXiv:math/0302026 [math.GT] (Published 2003-02-03, updated 2003-10-21)
Four-manifolds of large negative deficiency

Links

Toolbox