162 citations · 348 across the 33 of their papers we have counts for
33 papers
Seifert surfaces, Commutators and Vassiliev invariants
Efstratia Kalfagianni, Xiao-Song Lin
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…
Alternating sum formulae for the determinant and other link invariants
Oliver T. Dasbach, David Futer, Efstratia Kalfagianni +2
A classical result states that the determinant of an alternating link is equal to the number of spanning trees in a checkerboard graph of an alternating connected projection of the…
Torsion of Quasi-Isomorphisms
Jae-Wook Chung, Xiao-Song Lin
In this paper, we introduce the notion of Reidemeister torsion for quasi-isomorphisms of based chain complexes over a field. We call a chain map a quasi-isomorphism if its induced…
The Jones polynomial and graphs on surfaces
Oliver T. Dasbach, David Futer, Efstratia Kalfagianni +2
The Jones polynomial of an alternating link is a certain specialization of the Tutte polynomial of the (planar) checkerboard graph associated to an alternating projection of the li…
On the Head and the Tail of the Colored Jones Polynomial
Oliver T. Dasbach, Xiao-Song Lin
The colored Jones polynomial is a series of one variable Laurent polynomials J(K,n) associated with a knot K in 3-space. We will show that for an alternating knot K the absolute va…
On the Hecke algebras and the colored HOMFLY polynomial
Xiao-Song Lin, Hao Zheng
This paper has been withdrawn since it is identical to the paper math.QA/0601267. It was posted by mistake.