3 papers
math.GT2003
Knot adjacency and satellites
Efstratia Kalfagianni, Xiao-Song Lin
A knot K is called n-adjacent to the unknot, if K admits a projection containing n generalized crossings such that changing any m (no larger than n) of them yields a projection of…
math.GT1998
Milnor and finite type invariants of plat-closures
Efstratia Kalfagianni, Xiao-Song Lin
We show that for an -component, -bridge link and a positive integer , the following is true: If the longitudes of lie in the -th term of the lower central serie…
math.GT1998
Regular Seifert surfaces and Vassiliev knot invariants
Efstratia Kalfagianni, Xiao-Song Lin
We show that the Vassiliev invariants of orders of a knot K, are obstructions to finding a regular Seifert surface, S, whose complement looks "simple" (e.g. like the compl…