86 citations · 536 across the 43 of their papers we have counts for
47 papers
Knots with large character varieties
Philip Choi, Joan Porti, Seokbeom Yoon
We study knots whose -character varieties have a component of dimension greater than one. We call such knots -large and introduce two diagra…
Representations of the modular group into the isometries of SL(3,R)/SO(3)
Joan Porti
We describe the topology of the variety of characters of the modular group into the isometry group of the symmetric space $\mathrm{SL}_3(\mathbb{R})/\m…
Projective deformations of hyperbolic 3-orbifolds with turnover ends
Alejandro García, Joan Porti
We study projective deformations of (topologically finite) hyperbolic 3-orbifolds whose ends have turnover cross section. These deformations are examples of projective cusp opening…
New geometric structures on 3-manifolds: surgery and generalized geometry
Joan Porti, Roberto Rubio
Cosymplectic and normal almost contact structures are analogues of symplectic and complex structures that can be defined on 3-manifolds. Their existence imposes strong topological…
Deforming reducible representations of surface and 2-orbifold groups
Joan Porti
For a compact 2-orbifold with negative Euler characteristic , the variety of characters of in is a non-singular manif…
Morse actions of discrete groups on symmetric spaces: Local-to-global principle
Michael Kapovich, Bernhard Leeb, Joan Porti
Our main result is a local-to-global principle for Morse quasigeodesics, maps and actions. As an application of our techniques we show algorithmic recognizability of Morse actions…