4 papers · 1 filter
Finite type invariants, the mapping class group and blinks
Stavros Garoufalidis, Jerome Levine
The goal of the present paper is to find higher genus surgery formulae for the set of finite-type invariants of homology spheres, and to develop a companion theory of finite-type i…
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…
Morse theory of harmonic forms
Michael Farber, Gabriel Katz, Jerome Levine
We consider the problem of whether it is possible to improve the Novikov inequalities for closed 1-forms, or any other inequalities of a similar nature, if we assume, additionally,…
A Factorization of the Conway Polynomial
Jerome Levine
A string link S can be closed in a canonical way to produce an ordinary closed link L. We also consider a twisted closing which produces a knot K. We give a formula for the Conway…