4 papers
On the construction of K-contact non-Sasakian Smale-Barden manifolds
Vicente Muñoz, Juan Rojo
In the breakthrough paper \cite{Mu-jems}, it is constructed the first example of a simply connected compact -manifold (aka.\ Smale-Barden manifold) which admits a K-contact stru…
Representations of knot groups in and Alexander invariants
Ángel González-Prieto, Javier Martínez, Vicente Muñoz
This paper reinterprets Alexander-type invariants of knots via representation varieties of knot groups into the group of affine transformations of the…
Character varieties of torus links
Ángel González-Prieto, Javier Martínez, Vicente Muñoz
In this paper, we study the geometry of the moduli space of representations of the fundamental group of the complement of a torus link into an algebraic group G, an algebraic varie…
The SU(2)-character varieties of torus knots
Javier Martínez-Martínez, Vicente Muñoz
Let G be the fundamental group of the complement of the torus knot of type (m,n). We study the relationship between SU(2) and SL(2,C)-representations of this group, looking at thei…