5 papers · 1 filter
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…
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.…
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…
Tree-level invariants of three-manifolds, Massey products and the Johnson homomorphism
Stavros Garoufalidis, Jerome Levine
Two references added and the introduction slightly expanded. We show that the tree-level part of a recent theory of invariants of 3-manifolds (due, independently, to Goussarov and…
Pure braids, a new subgroup of the mapping class group and finite type invariants
Jerome Levine
In the study of the relation between the mapping class group M of a surface and the theory of finite-type invariants of homology 3-spheres, three subgroups of the mapping class gro…