27 citations · 126 across the 17 of their papers we have counts for
17 papers
On elementary invariants of genus one knots and Seifert surfaces
Christine Lescop
This elementary article introduces easy-to-manage invariants of genus one knots in homology 3-spheres. To prove their invariance, we investigate properties of an invariant of 3-dim…
Invariants of links and 3-manifolds from graph configurations
Christine Lescop
In this self-contained book, following Edward Witten, Maxim Kontsevich, Greg Kuperberg and Dylan Thurston, we define an invariant Z of framed links in rational homology 3-spheres,…
A combinatorial definition of the Theta-invariant from Heegaard diagrams
Christine Lescop
The invariant is an invariant of rational homology 3-spheres equipped with a combing over the complement of a point. It is related to the Casson-Walker invariant by…
An introduction to finite type invariants of knots and 3-manifolds defined by counting graph configurations
Christine Lescop
These introductory lectures show how to define finite type invariants of links and 3-manifolds by counting graph configurations in 3-manifolds, following ideas of Witten and Kontse…
A universal equivariant finite type knot invariant defined from configuration space integrals
Christine Lescop
In a previous article, we constructed an invariant Z for null-homologous knots in rational homology spheres, from equivariant intersections in configuration spaces. Here we present…
A formula for the Theta invariant from Heegaard diagrams
Christine Lescop
The Theta invariant is the simplest 3-manifold invariant defined with configuration space integrals. It is actually an invariant of rational homology spheres equipped with a combin…