Joan Porti

Preprints

with Michael Kapovich and Bernhard Leeb. Dynamics at infinity of regular discrete subgroups of isometries of higher rank symmetric spaces , arXiv:1306.3837

Publications

Local and infinitesimal rigidity of representations of hyperbolic three manifolds. To appear in RIMS Kôkyûroku, Kyoto University
Actions of hyperbolic three-manifold groups on complex projective space. To appear in RIMS Kôkyûroku, Kyoto University
with Pere Menal-Ferrer. Higher dimensional Reidemeister torsion invariants for cusped hyperbolic 3-manifolds , arXiv:1110.3718 To appear in J. of Topology
with L. Paoluzzi. Non-standard components of the character variety for a family of Montesinos knots , arXiv:1111.0933 To appear in P. London Math Soc
Regenerating hyperbolic cone 3-manifolds from dimension 2 , arXiv:1003.2494 To appear in Annales de l'Institut Fourier
with Pere Menal-Ferrer. Local coordinates for SL(n,C) character varieties of finite volume hyperbolic 3-manifolds , Ann. Blaise Pascal 19 no. 1 (2012), p. 107-122
with Pere Menal-Ferrer. Mutation and SL(2,C)-Reidemeister torsion for hyperbolic knots , Algebr. Geom. Topol. 12 (2012) 2049–2067. DOI: 10.2140/agt.2012.12.2049
with Pere Menal-Ferrer. Twisted cohomology for hyperbolic three manifolds , Osaka J. of Math. 49, n. 3 (2012), 741-769
with M. Heusener. Infinitesimal projective rigidity under Dehn filling , Geometry and Topology 15 (2011) 2017–2071. DOI: 10.2140/gt.2011.15.2017
Hyperbolic polygons of minimal perimeter with given angles , Geom. Dedicata Vol 156 (2012), No. 1, 165-170. DOI: 10.1007/s10711-011-9597-9
with L. Paoluzzi. Conway spheres as ideal points of the character variety, to appear in Math. Annalen DOI: 10.1007/s00208-011-0748-y
with Laurent Bessières, Gérard Besson, Michel Boileau, Sylvain Maillot. Geometrisation of 3-Manifolds , EMS Tracts in Mathematics Vol. 13, September 2010.
with Laurent Bessières, Gérard Besson, Michel Boileau, Sylvain Maillot. Collapsing irreducible 3-manifolds with nontrivial fundamental group , Invent. Math. . Vol 179 (2010), No. 2, 435-460.
with L. Paoluzzi Hyperbolic isometries versus symmetries of links, Topology Appl. 156 (2009), 1140-1147
Geometrization of three manifolds and Perelman’s proof. Rev. R. Acad. Cien. Serie A. Mat. Vol. 101 (2008), No. 1, 101-125
with Stefano Francaviglia. Rigidity of representations in SO(4,1) for Dehn fillings on 2-bridge knots. Pacific J. of Math. Vol. 238 (2008), No. 2, 249-274
with D. Cooper. Non compact Euclidan cone 3-manifolds with cone angles less than 2 pi. Geometry and Topology Monographs , 14 (2008) 173–192
with H. Weiss. Deforming Euclidean cone 3-manifolds . Geometry and Topology, Vol. 11 (2007), 1507-1538.
with M. Boileau, B. Leeb.Geometrization of 3-dimensional orbifolds Annals of Math. 162 (2005), no. 1, 195--250
with M. Heusener. Deformations of reducible representations of 3-manifold groups into PSL(2,C). Algebraic and Geometric Topology 5 (2005), 965--997.
Spherical cone structures on 2-bridge knots and links. Kobe J. Math. 21 (2004), no. 1-2, 61—70.
with M. Heusener. The variety of characters in PSL(2,C). Bol. Soc Mat. Mex. 10 (2004) no. 3.
Mayberry-Murasugi's formula for links in homology 3-spheres. Proc. Amer. Math. Soc. 132 (2004), no. 11, 3423--3431
with M. Boileau, and S. Maillot, Three-Dimensional Orbifolds and their Geometric Structures Panoramas et Synthèses, 15. Société Mathématique de France, Paris, 2003. viii+167 pp.
Regenerating hyperbolic cone structures from Nil. Geometry and Topology, Vol. 6 (2002), 815-852.
with Warren Dicks. On the Hausdorff dimension of the Gieseking fractal. Topology and its Applications) 126 (2002), 169--186
with M. Heusener and E. Suárez. Regenerating singular hyperbolic structures from Sol. J. Differential Geom. 59 (2001), 439-478
with M. Boileau, B. Leeb. Unifomization of small 3-orbifolds C. R. Acad. Sci. Paris Sér. I Math. 332 (2001) 57--62.
with M. Boileau. Geometrization of 3-orbifolds of cyclic type Astérisque 272, (2001)
with M. Heusener and E. Suárez. Deformations of reducible representations of 3-manifold groups into SL(2,C) J. Reine Angew. Math. 530 (2001), 191--227.
with C. Petronio. Negatively oriented ideal triangulations and a proof of Thurston's hyperbolic Dehn filling theorem. J. Porti, Expo. Math. 18 (2000), no. 1, 1--35.
with R. C. Alperin and Warren Dicks. The boundary of the Gieseking tree in hyperbolic three-space. Topology Appl. 93 (1999), no. 3, 219--259.
with Warren Dicks. Expressing a number as the sum of two coprime squares. Dedicated to the memory of Fernando Serrano. Collect. Math. 49 (1998), no. 2-3, 283--291.
Regenerating hyperbolic and spherical cone structures from Euclidean ones. Topology 37 (1998), no. 2, 365--392.
Torsion de Reidemeister pour les variétés hyperboliques. Mem. Amer. Math. Soc. 128 (1997), no. 612, x+139 pp.
Torsion de Reidemeister pour les variétés hyperboliques. C. R. Acad. Sci. Paris Sér. I Math. 320 (1995), no. 1, 59--64.