J. Porti

collaborators

5 papers

math.DG2026

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…

math.GT2026

Knots with large character varieties

Philip Choi, Joan Porti, Seokbeom Yoon

We study knots whose $SL_{2} (C)$ -character varieties have a component of dimension greater than one. We call such knots $X$ -large and introduce two diagra…

math.GT2026

Representations of the modular group into the isometries of SL(3, R)/SO(3)

Joan Porti

We describe a connected component of the space of conjugacy classes of representations of the modular group $PSL_{2} (Z)$ into the isometry group of the symmetric sp…

math.GT2025

Projective deformations of hyperbolic 3-orbifolds with turnover ends

Alejandro GarcÃa, 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…

math.GT2025

Deforming reducible representations of surface and 2-orbifold groups

Joan Porti

For a compact 2-orbifold with negative Euler characteristic $O^{2}$ , the variety of characters of $I ¨ _{1} (O^{2})$ in $SL_{n} (R)$ is a non-singular mani…