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## Porti, Joan

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 Author ID: porti.joan Published as: Porti, J.; Porti, Joan External Links: MGP · ORCID
 Documents Indexed: 50 Publications since 1995, including 4 Books Reviewing Activity: 124 Reviews
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#### 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
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#### 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
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#### 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)

#### Citations contained in zbMATH Open

38 Publications have been cited 486 times in 353 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 0971.57004
Boileau, Michel; Porti, Joan
2001
Geometrization of 3-dimensional orbifolds. Zbl 1087.57009
Boileau, Michel; Leeb, Bernhard; Porti, Joan
2005
Reidemeister torsion for hyperbolic manifolds. Zbl 0881.57020
Porti, Joan
1997
Geometrisation of 3-manifolds. Zbl 1244.57003
Bessières, Laurent; Besson, Gérard; Maillot, Sylvain; Boileau, Michel; Porti, Joan
2010
Three-dimensional orbifolds and their geometric structures. Zbl 1058.57009
Boileau, Michel; Maillot, Sylvain; Porti, Joan
2003
Negatively oriented ideal triangulations and a proof of Thurston’s hyperbolic Dehn filling theorem. Zbl 0977.57011
Petronio, Carlo; Porti, Joan
2000
The variety of characters in $$\text{PSL}_2(\mathbb{C})$$. Zbl 1100.57014
Heusener, Michael; Porti, Joan
2004
Dynamics on flag manifolds: domains of proper discontinuity and cocompactness. Zbl 1381.53090
Kapovich, Michael; Leeb, Bernhard; Porti, Joan
2018
Deformations of reducible representations of 3-manifolds into $$\text{SL}_2(\mathbb{C})$$. Zbl 0964.57006
Heusener, Michael; Porti, Joan; Suárez Peiró, Eva
2001
Deformations of reducible representations of 3-manifold groups into $$\text{PSL}_2(C)$$. Zbl 1082.57007
Heusener, Michael; Porti, Joan
2005
A Morse lemma for quasigeodesics in symmetric spaces and Euclidean buildings. Zbl 1454.53048
Kapovich, Michael; Leeb, Bernhard; Porti, Joan
2018
Higher-dimensional Reidemeister torsion invariants for cusped hyperbolic 3-manifolds. Zbl 1302.57044
Menal-Ferrer, Pere; Porti, Joan
2014
Collapsing irreducible 3-manifolds with nontrivial fundamental group. Zbl 1188.57013
Bessières, L.; Besson, G.; Boileau, M.; Maillot, S.; Porti, J.
2010
Spherical cone structures on 2-bridge knots and links. Zbl 1099.57013
Porti, Joan
2004
Mayberry-Murasugi’s formula for links in homology 3-spheres. Zbl 1064.57002
Porti, Joan
2004
Deforming Euclidean cone 3-manifolds. Zbl 1159.57007
Porti, Joan; Weiss, Hartmut
2007
Twisted cohomology for hyperbolic three manifolds. Zbl 1255.57018
Menal-Ferrer, Pere; Porti, Joan
2012
The boundary of the Gieseking tree in hyperbolic three-space. Zbl 0926.57008
Alperin, R. C.; Dicks, Warren; Porti, J.
1999
Regenerating hyperbolic and spherical cone structures from Euclidean ones. Zbl 0897.58042
Porti, Joan
1998
Some recent results on Anosov representations. Zbl 1375.37131
Kapovich, Michael; Leeb, Bernhard; Porti, Joan
2016
Anosov subgroups: dynamical and geometric characterizations. Zbl 1403.22013
Kapovich, Michael; Leeb, Bernhard; Porti, Joan
2017
Local coordinates for SL$$(n,C)$$-character varieties of finite-volume hyperbolic 3-manifolds. Zbl 1252.53053
Menal-Ferrer, Pere; Porti, Joan
2012
Regenerating hyperbolic cone structures from Nil. Zbl 1032.57015
Porti, Joan
2002
Regenerating singular hyperbolic structures from Sol. Zbl 1042.57008
Heusener, Michael; Porti, Joan; Suárez, Eva
2001
Infinitesimal projective rigidity under Dehn filling. Zbl 1237.57016
Heusener, Michael; Porti, Joan
2011
Uniformization of small 3-orbifolds. Zbl 0976.57017
Boileau, Michel; Leeb, Bernhard; Porti, Joan
2001
The $$SL(3,\mathbb{C})$$-character variety of the figure eight knot. Zbl 1373.57014
Heusener, Michael; Muñoz, Vicente; Porti, Joan
2016
Regenerating hyperbolic cone 3-manifolds from dimension 2. Zbl 1293.57012
Porti, Joan
2013
Non-standard components of the character variety for a family of Montesinos knots. Zbl 1283.57014
Paoluzzi, Luisa; Porti, Joan
2013
Reidemeister torsion, hyperbolic three-manifolds, and character varieties. Zbl 1410.57018
Porti, Joan
2018
Invariant character varieties of hyperbolic knots with symmetries. Zbl 1400.57016
Paoluzzi, Luisa; Porti, Joan
2018
Geometry of the $$\mathrm{SL}(3,\mathbb{C})$$-character variety of torus knots. Zbl 1333.14012
Muñoz, Vicente; Porti, Joan
2016
Representations of knot groups into $$\mathrm{SL}_n(\mathbb{C})$$ and twisted Alexander polynomials. Zbl 1323.57005
Heusener, Michael; Porti, Joan
2015
Hyperbolic polygons of minimal perimeter with given angles. Zbl 1236.51012
Porti, Joan
2012
Hyperbolic isometries versus symmetries of links. Zbl 1183.57015
Paoluzzi, Luisa; Porti, Joan
2009
Geometrization of three manifolds and Perelman’s proof. Zbl 1170.57016
Porti, Joan
2008
Rigidity of representations in $$\text{SO}(4,1)$$ for Dehn fillings on 2-bridge knots. Zbl 1158.57017
Francaviglia, Stefano; Porti, Joan
2008
On the Hausdorff dimension of the Gieseking fractal. Zbl 1029.57012
Dicks, Warren; Porti, J.
2002
Dynamics on flag manifolds: domains of proper discontinuity and cocompactness. Zbl 1381.53090
Kapovich, Michael; Leeb, Bernhard; Porti, Joan
2018
A Morse lemma for quasigeodesics in symmetric spaces and Euclidean buildings. Zbl 1454.53048
Kapovich, Michael; Leeb, Bernhard; Porti, Joan
2018
Reidemeister torsion, hyperbolic three-manifolds, and character varieties. Zbl 1410.57018
Porti, Joan
2018
Invariant character varieties of hyperbolic knots with symmetries. Zbl 1400.57016
Paoluzzi, Luisa; Porti, Joan
2018
Anosov subgroups: dynamical and geometric characterizations. Zbl 1403.22013
Kapovich, Michael; Leeb, Bernhard; Porti, Joan
2017
Some recent results on Anosov representations. Zbl 1375.37131
Kapovich, Michael; Leeb, Bernhard; Porti, Joan
2016
The $$SL(3,\mathbb{C})$$-character variety of the figure eight knot. Zbl 1373.57014
Heusener, Michael; Muñoz, Vicente; Porti, Joan
2016
Geometry of the $$\mathrm{SL}(3,\mathbb{C})$$-character variety of torus knots. Zbl 1333.14012
Muñoz, Vicente; Porti, Joan
2016
Representations of knot groups into $$\mathrm{SL}_n(\mathbb{C})$$ and twisted Alexander polynomials. Zbl 1323.57005
Heusener, Michael; Porti, Joan
2015
Higher-dimensional Reidemeister torsion invariants for cusped hyperbolic 3-manifolds. Zbl 1302.57044
Menal-Ferrer, Pere; Porti, Joan
2014
Regenerating hyperbolic cone 3-manifolds from dimension 2. Zbl 1293.57012
Porti, Joan
2013
Non-standard components of the character variety for a family of Montesinos knots. Zbl 1283.57014
Paoluzzi, Luisa; Porti, Joan
2013
Twisted cohomology for hyperbolic three manifolds. Zbl 1255.57018
Menal-Ferrer, Pere; Porti, Joan
2012
Local coordinates for SL$$(n,C)$$-character varieties of finite-volume hyperbolic 3-manifolds. Zbl 1252.53053
Menal-Ferrer, Pere; Porti, Joan
2012
Hyperbolic polygons of minimal perimeter with given angles. Zbl 1236.51012
Porti, Joan
2012
Infinitesimal projective rigidity under Dehn filling. Zbl 1237.57016
Heusener, Michael; Porti, Joan
2011
Geometrisation of 3-manifolds. Zbl 1244.57003
Bessières, Laurent; Besson, Gérard; Maillot, Sylvain; Boileau, Michel; Porti, Joan
2010
Collapsing irreducible 3-manifolds with nontrivial fundamental group. Zbl 1188.57013
Bessières, L.; Besson, G.; Boileau, M.; Maillot, S.; Porti, J.
2010
Hyperbolic isometries versus symmetries of links. Zbl 1183.57015
Paoluzzi, Luisa; Porti, Joan
2009
Geometrization of three manifolds and Perelman’s proof. Zbl 1170.57016
Porti, Joan
2008
Rigidity of representations in $$\text{SO}(4,1)$$ for Dehn fillings on 2-bridge knots. Zbl 1158.57017
Francaviglia, Stefano; Porti, Joan
2008
Deforming Euclidean cone 3-manifolds. Zbl 1159.57007
Porti, Joan; Weiss, Hartmut
2007
Geometrization of 3-dimensional orbifolds. Zbl 1087.57009
Boileau, Michel; Leeb, Bernhard; Porti, Joan
2005
Deformations of reducible representations of 3-manifold groups into $$\text{PSL}_2(C)$$. Zbl 1082.57007
Heusener, Michael; Porti, Joan
2005
The variety of characters in $$\text{PSL}_2(\mathbb{C})$$. Zbl 1100.57014
Heusener, Michael; Porti, Joan
2004
Spherical cone structures on 2-bridge knots and links. Zbl 1099.57013
Porti, Joan
2004
Mayberry-Murasugi’s formula for links in homology 3-spheres. Zbl 1064.57002
Porti, Joan
2004
Three-dimensional orbifolds and their geometric structures. Zbl 1058.57009
Boileau, Michel; Maillot, Sylvain; Porti, Joan
2003
Regenerating hyperbolic cone structures from Nil. Zbl 1032.57015
Porti, Joan
2002
On the Hausdorff dimension of the Gieseking fractal. Zbl 1029.57012
Dicks, Warren; Porti, J.
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 0971.57004
Boileau, Michel; Porti, Joan
2001
Deformations of reducible representations of 3-manifolds into $$\text{SL}_2(\mathbb{C})$$. Zbl 0964.57006
Heusener, Michael; Porti, Joan; Suárez Peiró, Eva
2001
Regenerating singular hyperbolic structures from Sol. Zbl 1042.57008
Heusener, Michael; Porti, Joan; Suárez, Eva
2001
Uniformization of small 3-orbifolds. Zbl 0976.57017
Boileau, Michel; Leeb, Bernhard; Porti, Joan
2001
Negatively oriented ideal triangulations and a proof of Thurston’s hyperbolic Dehn filling theorem. Zbl 0977.57011
Petronio, Carlo; Porti, Joan
2000
The boundary of the Gieseking tree in hyperbolic three-space. Zbl 0926.57008
Alperin, R. C.; Dicks, Warren; Porti, J.
1999
Regenerating hyperbolic and spherical cone structures from Euclidean ones. Zbl 0897.58042
Porti, Joan
1998
Reidemeister torsion for hyperbolic manifolds. Zbl 0881.57020
Porti, Joan
1997
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#### Cited by 356 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 Díaz, Raquel Gómez 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 Hidalgo, Rubén Antonio 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 ...and 256 more Authors
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#### Cited in 98 Serials

 34 Geometry & Topology 32 Topology and its Applications 31 Algebraic & Geometric Topology 25 Geometriae Dedicata 20 Journal of Knot Theory and its Ramifications 10 Proceedings of the American Mathematical Society 10 Transactions of the American Mathematical Society 9 Annales de l’Institut Fourier 8 Mathematische Zeitschrift 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 Glasgow Mathematical Journal 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 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 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 1 ISRN Geometry 1 Communications in Mathematics and Statistics 1 Annales Mathématiques du Québec 1 European Journal of Mathematics 1 Annales Henri Lebesgue
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#### Cited in 30 Fields

 285 Manifolds and cell complexes (57-XX) 83 Differential geometry (53-XX) 72 Group theory and generalizations (20-XX) 28 Topological groups, Lie groups (22-XX) 23 Algebraic geometry (14-XX) 22 Functions of a complex variable (30-XX) 22 Global analysis, analysis on manifolds (58-XX) 16 Geometry (51-XX) 15 Number theory (11-XX) 13 Dynamical systems and ergodic theory (37-XX) 13 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) 4 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)