We study the (relative) SL(2, C) character varieties of the three-holed projective plane and the action of the mapping class group on them. We describe a domain of discontinuity for this action, which strictly contains the set of primitive stable representations defined by Minsky, and also the set of convex-cocompact characters. We consider the relationship with the previous work of the authors and S. P. Tan on the character variety of the four-holed sphere
We determine the action of the Torelli group on the equivariant cohomology of the space of flat SL(2...
In this paper, we study a weaker version of algebraic quotient for the action of an algebraic group ...
We describe a 1-cocycle condition that guarantees the smoothness of a reducible character in the SL(...
Abstract. We study the (relative) SL(2,C) character varieties of the four-holed sphere and the actio...
45 pages, 1 figureInternational audienceWe study the (relative) SL(2,C) character varieties of the f...
Denote the free group on two letters by F2 and the SL(3,C)-representation variety of F2 by R = Hom(F...
Let G be the fundamental group of the complement of the torus knot of type (m, n). It has a presenta...
The purpose of this thesis is to give a presentation of the space of characters of a finitely genera...
For the action of the outer automorphism group of the rank two free group on the corresponding vari...
For the action of the outer automorphism group of the rank two free group on the corresponding varie...
AbstractWe study the (relative) SL(2,C) character varieties of the one-holed torus and the action of...
We consider varieties of representations and characters of 2 and 3 dimensional orbifolds in semisimp...
In this paper, we compute the motive of the character variety of representations of the fundamental ...
For a compact 2-orbifold with negative Euler characteristic $\mathcal O^2$, the variety of character...
We describe the geometry of the character variety of representations of the knot group $\Gamma_{m,n}...
We determine the action of the Torelli group on the equivariant cohomology of the space of flat SL(2...
In this paper, we study a weaker version of algebraic quotient for the action of an algebraic group ...
We describe a 1-cocycle condition that guarantees the smoothness of a reducible character in the SL(...
Abstract. We study the (relative) SL(2,C) character varieties of the four-holed sphere and the actio...
45 pages, 1 figureInternational audienceWe study the (relative) SL(2,C) character varieties of the f...
Denote the free group on two letters by F2 and the SL(3,C)-representation variety of F2 by R = Hom(F...
Let G be the fundamental group of the complement of the torus knot of type (m, n). It has a presenta...
The purpose of this thesis is to give a presentation of the space of characters of a finitely genera...
For the action of the outer automorphism group of the rank two free group on the corresponding vari...
For the action of the outer automorphism group of the rank two free group on the corresponding varie...
AbstractWe study the (relative) SL(2,C) character varieties of the one-holed torus and the action of...
We consider varieties of representations and characters of 2 and 3 dimensional orbifolds in semisimp...
In this paper, we compute the motive of the character variety of representations of the fundamental ...
For a compact 2-orbifold with negative Euler characteristic $\mathcal O^2$, the variety of character...
We describe the geometry of the character variety of representations of the knot group $\Gamma_{m,n}...
We determine the action of the Torelli group on the equivariant cohomology of the space of flat SL(2...
In this paper, we study a weaker version of algebraic quotient for the action of an algebraic group ...
We describe a 1-cocycle condition that guarantees the smoothness of a reducible character in the SL(...