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Seifert surfaces, Commutators and Vassiliev invariants

Authors :
Kalfagianni, Efstratia
Lin, Xiao-Song
Source :
J. of Knot Theory and its Ramifications, Vol. 16, no. 10(2007), 1295-1329
Publication Year :
2007

Abstract

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.<br />Comment: 35 pages, 13 Figures. To appear in the J. of Knot Theory and its Ramifications (special volume in honor of L. Kauffman)

Details

Database :
arXiv
Journal :
J. of Knot Theory and its Ramifications, Vol. 16, no. 10(2007), 1295-1329
Publication Type :
Report
Accession number :
edsarx.0709.1689
Document Type :
Working Paper