29 citations · 30 across the 3 of their papers we have counts for
4 papers
Jacobi diagrams on surfaces and quantum invariants
Dorin Cheptea
We adapt the notion of Jacobi diagrams on surfaces (considered by Andersen-Mattes-Reshetikhin), and construct a LMO-like map that we use to compare some functoriality properties of…
A functorial LMO invariant for Lagrangian cobordisms
Dorin Cheptea, Kazuo Habiro, Gwenael Massuyeau
Lagrangian cobordisms are three-dimensional compact oriented cobordisms between once-punctured surfaces, subject to some homological conditions. We extend the Le-Murakami-Ohtsuki i…
3-cobordisms with their rational homology on the boundary
Dorin Cheptea, Thang T Q Le
The object of this paper is to define a subcategory of the category of 3-cobordisms to which invariants of rational homology 3-spheres should generalize. We specify the notion of T…
A TQFT associated to the LMO invariant of three-dimensional manifolds
Dorin Cheptea, Thang T Q Le
We construct a Topological Quantum Field Theory (in the sense of Atiyah) associated to the universal finite-type invariant of 3-dimensional manifolds, as a functor from the categor…