activity
19942005
most citedHomology cylinders: an enlargement of the mapping class group

67 citations · 165 across the 18 of their papers we have counts for

collaborators

18 papers

math.GT2005★ 23 cited

Labeled binary planar trees and quasi-Lie algebras

Jerome Levine

We study the natural map eta between a group of binary planar trees whose leaves are labeled by elements of a free abelian group H and a certain group D(H) derived from the free Li…

math.GT2004

The Lagrangian filtration of the mapping class group and finite-type invariants of homology spheres

Jerome Levine

In a recent paper we defined a new filtration of the mapping class group--the "Lagrangian" filtration. We here determine the successive quotients of this filtration, up to finite i…

math.GT2003

Concordance of boundary links

Jerome Levine

We show that the twisted signature invariants of boundary link concordance derived from unitary representations of the free group are actually ordinary link concordance invariants.…

math.GT2002★ 22 cited

Addendum and correction to: Homology cylinders: an enlargement of the mapping class group

Jerome Levine

In a previous paper [Homology cylinders: an enlargement of the mapping class group, Algebr. Geom. Topol. 1 (2001) 243--270, arXiv:math.GT/0010247], a group H_g of homology cylinder…

math.GT2001

Analytic invariants of boundary links

Stavros Garoufalidis, Jerome Levine

Using basic topology and linear algebra, we define a plethora of invariants of boundary links whose values are power series with noncommuting variables. These turn out to be useful…

math.GT2001★ 18 cited

Concordance and 1-loop clovers

Stavros Garoufalidis, Jerome Levine

We show that surgery on a connected clover (or clasper) with at least one loop preserves the concordance class of a knot. Surgery on a slightly more special class of clovers preser…