Edit Profile Porti, Joan Compute Distance To: Compute Author ID: porti.joan Published as: Porti, J.; Porti, Joan External Links: MGP · Wikidata · ORCID Documents Indexed: 50 Publications since 1995, including 4 Books Reviewing Activity: 124 Reviews all top 5 Co-Authors 14 single-authored 8 Heusener, Michael 6 Boileau, Michel Charles 6 Leeb, Bernhard 5 Paoluzzi, Luisa 4 Kapovich, Michael 4 Menal Ferrer, Pere 3 Dicks, Warren 3 Maillot, Sylvain 2 Bessières, Laurent 2 Besson, Gérard 2 Muñoz Velázquez, Vicente 1 Alperin, Roger Charles 1 Cooper, Daryl 1 Francaviglia, Stefano 1 Petronio, Carlo 1 Pitsch, Wolfgang 1 Suárez-Peiró, Eva 1 Suárez, Eva 1 Weiss, Hartmut all top 5 Serials 6 Geometry & Topology 3 Topology and its Applications 3 Algebraic & Geometric Topology 2 Pacific Journal of Mathematics 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Annales de l’Institut Fourier 1 Collectanea Mathematica 1 Geometriae Dedicata 1 Illinois Journal of Mathematics 1 Inventiones Mathematicae 1 Journal of Differential Geometry 1 Journal für die Reine und Angewandte Mathematik 1 Mathematische Annalen 1 Memoirs of the American Mathematical Society 1 Osaka Journal of Mathematics 1 Proceedings of the American Mathematical Society 1 Proceedings of the London Mathematical Society. Third Series 1 Topology 1 Kobe Journal of Mathematics 1 Comptes Rendus de l’Académie des Sciences. Série I 1 Expositiones Mathematicae 1 Annales Mathématiques Blaise Pascal 1 Boletín de la Sociedad Matemática Mexicana. Third Series 1 Transformation Groups 1 Comptes Rendus de l’Académie des Sciences. Série I. Mathématique 1 Annals of Mathematics. Second Series 1 RACSAM. Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 1 Astérisque 1 Panoramas et Synthèses 1 Journal of Topology 1 EMS Tracts in Mathematics 1 European Journal of Mathematics 1 Winter Braids Lecture Notes 1 Annales Henri Lebesgue all top 5 Fields 44 Manifolds and cell complexes (57-XX) 17 Differential geometry (53-XX) 11 Group theory and generalizations (20-XX) 3 Algebraic geometry (14-XX) 3 Geometry (51-XX) 2 Topological groups, Lie groups (22-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Convex and discrete geometry (52-XX) 1 Number theory (11-XX) 1 Measure and integration (28-XX) 1 General topology (54-XX) 1 Global analysis, analysis on manifolds (58-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH 38 Publications have been cited 477 times in 347 Documents Cited by ▼ Year ▼ Geometrization of 3-orbifolds of cyclic type. With an appendix: Limit of hyperbolicity for spherical 3-orbifolds by Michael Heusener and Joan Porti. Zbl 0971.57004Boileau, Michel; Porti, Joan 59 2001 Geometrization of 3-dimensional orbifolds. Zbl 1087.57009Boileau, Michel; Leeb, Bernhard; Porti, Joan 47 2005 Geometrisation of 3-manifolds. Zbl 1244.57003Bessières, Laurent; Besson, Gérard; Maillot, Sylvain; Boileau, Michel; Porti, Joan 45 2010 Reidemeister torsion for hyperbolic manifolds. Zbl 0881.57020Porti, Joan 45 1997 Three-dimensional orbifolds and their geometric structures. Zbl 1058.57009Boileau, Michel; Maillot, Sylvain; Porti, Joan 41 2003 Negatively oriented ideal triangulations and a proof of Thurston’s hyperbolic Dehn filling theorem. Zbl 0977.57011Petronio, Carlo; Porti, Joan 22 2000 The variety of characters in \(\text{PSL}_2(\mathbb{C})\). Zbl 1100.57014Heusener, Michael; Porti, Joan 19 2004 Dynamics on flag manifolds: domains of proper discontinuity and cocompactness. Zbl 1381.53090Kapovich, Michael; Leeb, Bernhard; Porti, Joan 14 2018 Deformations of reducible representations of 3-manifolds into \(\text{SL}_2(\mathbb{C})\). Zbl 0964.57006Heusener, Michael; Porti, Joan; Suárez Peiró, Eva 13 2001 Higher-dimensional Reidemeister torsion invariants for cusped hyperbolic 3-manifolds. Zbl 1302.57044Menal-Ferrer, Pere; Porti, Joan 11 2014 Collapsing irreducible 3-manifolds with nontrivial fundamental group. Zbl 1188.57013Bessières, L.; Besson, G.; Boileau, M.; Maillot, S.; Porti, J. 11 2010 Deformations of reducible representations of 3-manifold groups into \(\text{PSL}_2(C)\). Zbl 1082.57007Heusener, Michael; Porti, Joan 11 2005 Spherical cone structures on 2-bridge knots and links. Zbl 1099.57013Porti, Joan 11 2004 Mayberry-Murasugi’s formula for links in homology 3-spheres. Zbl 1064.57002Porti, Joan 11 2004 A Morse lemma for quasigeodesics in symmetric spaces and Euclidean buildings. Zbl 06997379Kapovich, Michael; Leeb, Bernhard; Porti, Joan 10 2018 Deforming Euclidean cone 3-manifolds. Zbl 1159.57007Porti, Joan; Weiss, Hartmut 10 2007 Twisted cohomology for hyperbolic three manifolds. Zbl 1255.57018Menal-Ferrer, Pere; Porti, Joan 9 2012 The boundary of the Gieseking tree in hyperbolic three-space. Zbl 0926.57008Alperin, R. C.; Dicks, Warren; Porti, J. 9 1999 Regenerating hyperbolic and spherical cone structures from Euclidean ones. Zbl 0897.58042Porti, Joan 9 1998 Some recent results on Anosov representations. Zbl 1375.37131Kapovich, Michael; Leeb, Bernhard; Porti, Joan 8 2016 Local coordinates for SL\((n,C)\)-character varieties of finite-volume hyperbolic 3-manifolds. Zbl 1252.53053Menal-Ferrer, Pere; Porti, Joan 7 2012 Anosov subgroups: dynamical and geometric characterizations. Zbl 1403.22013Kapovich, Michael; Leeb, Bernhard; Porti, Joan 6 2017 Regenerating hyperbolic cone structures from Nil. Zbl 1032.57015Porti, Joan 6 2002 Regenerating singular hyperbolic structures from Sol. Zbl 1042.57008Heusener, Michael; Porti, Joan; Suárez, Eva 6 2001 Infinitesimal projective rigidity under Dehn filling. Zbl 1237.57016Heusener, Michael; Porti, Joan 5 2011 Uniformization of small 3-orbifolds. Zbl 0976.57017Boileau, Michel; Leeb, Bernhard; Porti, Joan 5 2001 The \(SL(3,\mathbb{C})\)-character variety of the figure eight knot. Zbl 1373.57014Heusener, Michael; Muñoz, Vicente; Porti, Joan 4 2016 Regenerating hyperbolic cone 3-manifolds from dimension 2. Zbl 1293.57012Porti, Joan 4 2013 Non-standard components of the character variety for a family of Montesinos knots. Zbl 1283.57014Paoluzzi, Luisa; Porti, Joan 4 2013 Reidemeister torsion, hyperbolic three-manifolds, and character varieties. Zbl 1410.57018Porti, Joan 2 2018 Invariant character varieties of hyperbolic knots with symmetries. Zbl 1400.57016Paoluzzi, Luisa; Porti, Joan 2 2018 Geometry of the \(\mathrm{SL}(3,\mathbb{C})\)-character variety of torus knots. Zbl 1333.14012Muñoz, Vicente; Porti, Joan 2 2016 Hyperbolic polygons of minimal perimeter with given angles. Zbl 1236.51012Porti, Joan 2 2012 Hyperbolic isometries versus symmetries of links. Zbl 1183.57015Paoluzzi, Luisa; Porti, Joan 2 2009 Geometrization of three manifolds and Perelman’s proof. Zbl 1170.57016Porti, Joan 2 2008 Representations of knot groups into \(\mathrm{SL}_n(\mathbb{C})\) and twisted Alexander polynomials. Zbl 1323.57005Heusener, Michael; Porti, Joan 1 2015 Rigidity of representations in \(\text{SO}(4,1)\) for Dehn fillings on 2-bridge knots. Zbl 1158.57017Francaviglia, Stefano; Porti, Joan 1 2008 On the Hausdorff dimension of the Gieseking fractal. Zbl 1029.57012Dicks, Warren; Porti, J. 1 2002 Dynamics on flag manifolds: domains of proper discontinuity and cocompactness. Zbl 1381.53090Kapovich, Michael; Leeb, Bernhard; Porti, Joan 14 2018 A Morse lemma for quasigeodesics in symmetric spaces and Euclidean buildings. Zbl 06997379Kapovich, Michael; Leeb, Bernhard; Porti, Joan 10 2018 Reidemeister torsion, hyperbolic three-manifolds, and character varieties. Zbl 1410.57018Porti, Joan 2 2018 Invariant character varieties of hyperbolic knots with symmetries. Zbl 1400.57016Paoluzzi, Luisa; Porti, Joan 2 2018 Anosov subgroups: dynamical and geometric characterizations. Zbl 1403.22013Kapovich, Michael; Leeb, Bernhard; Porti, Joan 6 2017 Some recent results on Anosov representations. Zbl 1375.37131Kapovich, Michael; Leeb, Bernhard; Porti, Joan 8 2016 The \(SL(3,\mathbb{C})\)-character variety of the figure eight knot. Zbl 1373.57014Heusener, Michael; Muñoz, Vicente; Porti, Joan 4 2016 Geometry of the \(\mathrm{SL}(3,\mathbb{C})\)-character variety of torus knots. Zbl 1333.14012Muñoz, Vicente; Porti, Joan 2 2016 Representations of knot groups into \(\mathrm{SL}_n(\mathbb{C})\) and twisted Alexander polynomials. Zbl 1323.57005Heusener, Michael; Porti, Joan 1 2015 Higher-dimensional Reidemeister torsion invariants for cusped hyperbolic 3-manifolds. Zbl 1302.57044Menal-Ferrer, Pere; Porti, Joan 11 2014 Regenerating hyperbolic cone 3-manifolds from dimension 2. Zbl 1293.57012Porti, Joan 4 2013 Non-standard components of the character variety for a family of Montesinos knots. Zbl 1283.57014Paoluzzi, Luisa; Porti, Joan 4 2013 Twisted cohomology for hyperbolic three manifolds. Zbl 1255.57018Menal-Ferrer, Pere; Porti, Joan 9 2012 Local coordinates for SL\((n,C)\)-character varieties of finite-volume hyperbolic 3-manifolds. Zbl 1252.53053Menal-Ferrer, Pere; Porti, Joan 7 2012 Hyperbolic polygons of minimal perimeter with given angles. Zbl 1236.51012Porti, Joan 2 2012 Infinitesimal projective rigidity under Dehn filling. Zbl 1237.57016Heusener, Michael; Porti, Joan 5 2011 Geometrisation of 3-manifolds. Zbl 1244.57003Bessières, Laurent; Besson, Gérard; Maillot, Sylvain; Boileau, Michel; Porti, Joan 45 2010 Collapsing irreducible 3-manifolds with nontrivial fundamental group. Zbl 1188.57013Bessières, L.; Besson, G.; Boileau, M.; Maillot, S.; Porti, J. 11 2010 Hyperbolic isometries versus symmetries of links. Zbl 1183.57015Paoluzzi, Luisa; Porti, Joan 2 2009 Geometrization of three manifolds and Perelman’s proof. Zbl 1170.57016Porti, Joan 2 2008 Rigidity of representations in \(\text{SO}(4,1)\) for Dehn fillings on 2-bridge knots. Zbl 1158.57017Francaviglia, Stefano; Porti, Joan 1 2008 Deforming Euclidean cone 3-manifolds. Zbl 1159.57007Porti, Joan; Weiss, Hartmut 10 2007 Geometrization of 3-dimensional orbifolds. Zbl 1087.57009Boileau, Michel; Leeb, Bernhard; Porti, Joan 47 2005 Deformations of reducible representations of 3-manifold groups into \(\text{PSL}_2(C)\). Zbl 1082.57007Heusener, Michael; Porti, Joan 11 2005 The variety of characters in \(\text{PSL}_2(\mathbb{C})\). Zbl 1100.57014Heusener, Michael; Porti, Joan 19 2004 Spherical cone structures on 2-bridge knots and links. Zbl 1099.57013Porti, Joan 11 2004 Mayberry-Murasugi’s formula for links in homology 3-spheres. Zbl 1064.57002Porti, Joan 11 2004 Three-dimensional orbifolds and their geometric structures. Zbl 1058.57009Boileau, Michel; Maillot, Sylvain; Porti, Joan 41 2003 Regenerating hyperbolic cone structures from Nil. Zbl 1032.57015Porti, Joan 6 2002 On the Hausdorff dimension of the Gieseking fractal. Zbl 1029.57012Dicks, Warren; Porti, J. 1 2002 Geometrization of 3-orbifolds of cyclic type. With an appendix: Limit of hyperbolicity for spherical 3-orbifolds by Michael Heusener and Joan Porti. Zbl 0971.57004Boileau, Michel; Porti, Joan 59 2001 Deformations of reducible representations of 3-manifolds into \(\text{SL}_2(\mathbb{C})\). Zbl 0964.57006Heusener, Michael; Porti, Joan; Suárez Peiró, Eva 13 2001 Regenerating singular hyperbolic structures from Sol. Zbl 1042.57008Heusener, Michael; Porti, Joan; Suárez, Eva 6 2001 Uniformization of small 3-orbifolds. Zbl 0976.57017Boileau, Michel; Leeb, Bernhard; Porti, Joan 5 2001 Negatively oriented ideal triangulations and a proof of Thurston’s hyperbolic Dehn filling theorem. Zbl 0977.57011Petronio, Carlo; Porti, Joan 22 2000 The boundary of the Gieseking tree in hyperbolic three-space. Zbl 0926.57008Alperin, R. C.; Dicks, Warren; Porti, J. 9 1999 Regenerating hyperbolic and spherical cone structures from Euclidean ones. Zbl 0897.58042Porti, Joan 9 1998 Reidemeister torsion for hyperbolic manifolds. Zbl 0881.57020Porti, Joan 45 1997 all cited Publications top 5 cited Publications all top 5 Cited by 348 Authors 21 Porti, Joan 9 Boileau, Michel Charles 8 Paoluzzi, Luisa 8 Wang, Chao 8 Wang, Shi Cheng 8 Zhang, Yi Mu 7 Heusener, Michael 7 Leeb, Bernhard 7 Yamaguchi, Yoshikazu 6 Danciger, Jeffrey 6 Kapovich, Michael 6 Sakuma, Makoto 6 Tran, Anh Tuan 6 Zimmermann, Bruno P. 5 Ben Abdelghani, Leila 5 Boyer, Steven 5 Dubois, Jérôme 5 Guilloux, Antonin 5 Ham, Ji-Young 5 Raimbault, Jean 5 Sozen, Yasar 4 Dicks, Warren 4 Gómez Larrañaga, José Carlos 4 González Acuña, Francisco Javier 4 Heil, Wolfgang H. 4 Kitayama, Takahiro 4 Lackenby, Marc 4 Lee, Joongul 4 Maillot, Sylvain 4 Mednykh, Aleksandr Dmitrievich 4 Préaux, Jean-Philippe 4 Schlenker, Jean-Marc 4 Walsh, Genevieve S. 3 Atkinson, Christopher K. 3 Ballas, Samuel A. 3 Bamler, Richard H. 3 Collier, Brian 3 Culler, Marc 3 Fang, Fuquan 3 Friedl, Stefan 3 Huang, Hongnian 3 Jang, Yeonhee 3 Kadokami, Teruhisa 3 Le, Thang Tu Quoc 3 Lee, Donghi 3 Mecchia, Mattia 3 Menal Ferrer, Pere 3 Miyazaki, Katura 3 Molnár, Emil 3 Motegi, Kimihiko 3 Murakami, Hitoshi 3 Pfaff, Jonathan 3 Saito, Toshio 3 Seaton, Christopher 3 Shalen, Peter B. 3 Sikora, Adam S. 3 Szirmai, Jenó 3 Vesnin, Andrei Yu. 3 Weiss, Hartmut 3 Zhang, Xingru 2 Akiyoshi, Hirotaka 2 Barbot, Thierry 2 Baseilhac, Stéphane 2 Benedetti, Riccardo 2 Bessières, Laurent 2 Besson, Gérard 2 Bucher, Michelle 2 Burelle, Jean-Philippe 2 Burger, Marc 2 Cavicchioli, Alberto 2 Cebanu, Radu 2 Choi, Suhyoung 2 Cruz-Cota, Aldo-Hilario 2 Dahmani, François 2 de la Harpe, Pierre 2 Deruelle, Arnaud 2 Dunfield, Nathan M. 2 Falbel, Elisha 2 Frigerio, Roberto 2 Galaz-Garcia, Fernando 2 Gang, Dongmin 2 Garoufalidis, Stavros 2 Gitik, Rita 2 Guirardel, Vincent 2 Iozzi, Alessandra 2 Kalliongis, John E. 2 Kania-Bartoszyńska, Joanna 2 Kholodenko, Arkady L. 2 Kim, Nakwoo 2 Kleiner, Bruce 2 Kolpakov, Alexander A. 2 Lee, Gye-Seon 2 Loustau, Brice 2 Luo, Feng 2 Marché, Julien 2 Miller, Andy 2 Montcouquiol, Grégoire 2 Morifuji, Takayuki 2 Nagasato, Fumikazu 2 Otera, Daniele Ettore ...and 248 more Authors all top 5 Cited in 97 Serials 34 Geometry & Topology 31 Topology and its Applications 31 Algebraic & Geometric Topology 24 Geometriae Dedicata 20 Journal of Knot Theory and its Ramifications 10 Proceedings of the American Mathematical Society 10 Transactions of the American Mathematical Society 8 Mathematische Zeitschrift 7 Annales de l’Institut Fourier 6 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 5 Duke Mathematical Journal 5 Inventiones Mathematicae 5 Mathematische Annalen 4 Commentarii Mathematici Helvetici 4 Discrete & Computational Geometry 4 Geometric and Functional Analysis. GAFA 4 Groups, Geometry, and Dynamics 4 Journal of Topology 3 Communications in Mathematical Physics 3 Journal of Geometry and Physics 3 Journal of Geometry 3 International Journal of Mathematics 3 Differential Geometry and its Applications 3 The Journal of Geometric Analysis 3 Annales Mathématiques Blaise Pascal 3 Boletín de la Sociedad Matemática Mexicana. Third Series 3 Journal of the European Mathematical Society (JEMS) 3 Comptes Rendus. Mathématique. Académie des Sciences, Paris 3 Journal of Topology and Analysis 2 Letters in Mathematical Physics 2 Mathematical Proceedings of the Cambridge Philosophical Society 2 Advances in Mathematics 2 Compositio Mathematica 2 Glasgow Mathematical Journal 2 Journal of Algebra 2 Journal of Functional Analysis 2 Journal of the Mathematical Society of Japan 2 Journal of Pure and Applied Algebra 2 Memoirs of the American Mathematical Society 2 Osaka Journal of Mathematics 2 Pacific Journal of Mathematics 2 Ergodic Theory and Dynamical Systems 2 Chinese Annals of Mathematics. Series B 2 Bulletin of the American Mathematical Society. New Series 2 Experimental Mathematics 2 Sbornik: Mathematics 2 Annals of Mathematics. Second Series 2 Acta Mathematica Sinica. English Series 2 Journal of High Energy Physics 2 Winter Braids Lecture Notes 1 Bulletin of the Australian Mathematical Society 1 Israel Journal of Mathematics 1 Journal of Mathematical Physics 1 Lithuanian Mathematical Journal 1 Nuclear Physics. B 1 Chaos, Solitons and Fractals 1 Acta Mathematica 1 Acta Mathematica Vietnamica 1 Archiv der Mathematik 1 Colloquium Mathematicum 1 Hiroshima Mathematical Journal 1 Publications Mathématiques 1 Journal of the Korean Mathematical Society 1 Journal für die Reine und Angewandte Mathematik 1 Manuscripta Mathematica 1 Mathematica Slovaca 1 Monatshefte für Mathematik 1 Proceedings of the Edinburgh Mathematical Society. Series II 1 Publications of the Research Institute for Mathematical Sciences, Kyoto University 1 Siberian Mathematical Journal 1 Tohoku Mathematical Journal. Second Series 1 Tokyo Journal of Mathematics 1 Annals of Pure and Applied Logic 1 Annals of Global Analysis and Geometry 1 Revista Matemática Iberoamericana 1 Forum Mathematicum 1 International Journal of Algebra and Computation 1 Expositiones Mathematicae 1 Selecta Mathematica. New Series 1 Transformation Groups 1 Balkan Journal of Geometry and its Applications (BJGA) 1 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 1 Conformal Geometry and Dynamics 1 Revista Matemática Complutense 1 Advances in Geometry 1 Computational Methods and Function Theory 1 Sibirskie Èlektronnye Matematicheskie Izvestiya 1 Frontiers of Mathematics in China 1 Algebra & Number Theory 1 Quantum Topology 1 Science China. Mathematics 1 Kyoto Journal of Mathematics 1 ISRN Geometry 1 Communications in Mathematics and Statistics 1 Annales Mathématiques du Québec 1 European Journal of Mathematics 1 Annales Henri Lebesgue all top 5 Cited in 30 Fields 280 Manifolds and cell complexes (57-XX) 82 Differential geometry (53-XX) 72 Group theory and generalizations (20-XX) 27 Topological groups, Lie groups (22-XX) 23 Algebraic geometry (14-XX) 22 Global analysis, analysis on manifolds (58-XX) 21 Functions of a complex variable (30-XX) 16 Geometry (51-XX) 15 Number theory (11-XX) 13 Dynamical systems and ergodic theory (37-XX) 12 Convex and discrete geometry (52-XX) 9 Several complex variables and analytic spaces (32-XX) 8 Algebraic topology (55-XX) 7 Relativity and gravitational theory (83-XX) 6 Quantum theory (81-XX) 3 Combinatorics (05-XX) 3 Functional analysis (46-XX) 3 General topology (54-XX) 2 Category theory; homological algebra (18-XX) 2 Measure and integration (28-XX) 2 Partial differential equations (35-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Computer science (68-XX) 1 History and biography (01-XX) 1 Mathematical logic and foundations (03-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 General algebraic systems (08-XX) 1 Commutative algebra (13-XX) 1 Nonassociative rings and algebras (17-XX) 1 Operator theory (47-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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