3 papers
math.DG2026
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…
math.GT2025
Representations of knot groups in and Alexander invariants
Ãngel González-Prieto, Javier MartÃnez, Vicente Muñoz
This paper reinterprets Alexander-type invariants of knots via representation varieties of knot groups into the group of affine transformations of the…
math.GT2024
Character varieties of torus links
Ãngel González-Prieto, Javier MartÃnez, 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…