7 citations · 27 across the 14 of their papers we have counts for
14 papers
The intersection form on the homology of a surface acted on by a finite group
Jean Barge, Julien Marche
Let G be a finite group acting freely on a compact oriented surface S by homeomorphisms preserving the orientation. Then, there exists a G-invariant Lagrangian subspace in the firs…
Volume function and Mahler measure of exact polynomials
Antonin Guilloux, Julien Marché
We study a class of 2-variable polynomials called exact polynomials which contains -polynomials of knot complements. The Mahler measure of these polynomials can be computed in t…
Generating series and asymptotics of classical spin networks
Francesco Costantino, Julien Marche
We study classical spin networks with group SU(2). In the first part, using gaussian integrals, we compute their generating series in the case where the networks are equipped with…
Geometric interpretation of simplicial formulas for the Chern-Simons invariant
Julien Marche
We give a direct interpretation of Neumann's combinatorial formula for the Chern-Simons invariant of a 3-manifold with a representation in PSL(2,C) whose restriction to the boundar…
The skein module of torus knots complements
Julien Marche
We compute the Kauffman skein module of the complement of torus knots in S^3. Precisely, we show that these modules are isomorphic to the algebra of Sl(2,C)-characters tensored wit…
Geometry of representation spaces in SU(2)
Julien Marche
These notes of a course given at IRMA in April 2009 cover some aspects of the representation theory of fundamental groups of manifolds of dimension at most 3 in compact Lie groups,…