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Bonahon, Francis

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Author ID: bonahon.francis Recent zbMATH articles by "Bonahon, Francis"
Published as: Bonahon, F.; Bonahon, Francis
External Links: MGP · Wikidata · GND
Documents Indexed: 46 Publications since 1980, including 2 Books
Reviewing Activity: 56 Reviews

Publications by Year

Citations contained in zbMATH Open

42 Publications have been cited 834 times in 585 Documents Cited by Year
Bouts des variétés hyperboliques de dimension 3. (Ends of hyperbolic 3-dimensional manifolds). Zbl 0671.57008
Bonahon, Francis
167
1986
The geometry of Teichmüller space via geodesic currents. Zbl 0653.32022
Bonahon, Francis
93
1988
Shearing hyperbolic surfaces, bending pleated surfaces and Thurston’s symplectic form. Zbl 0880.57005
Bonahon, Francis
47
1996
Cobordism of automorphisms of surfaces. Zbl 0535.57016
Bonahon, Francis
43
1983
Difféotopies des espaces lenticulaires. Zbl 0526.57009
Bonahon, Francis
38
1983
The classification of Seifert fibred 3-orbifolds. Zbl 0571.57011
Bonahon, F.; Siebenmann, L.
33
1985
Scindements de Heegaard des espaces lenticulaires. Zbl 0545.57002
Bonahon, Francis; Otal, Jean-Pierre
31
1983
The characteristic toric splitting of irreducible compact 3-orbifolds. Zbl 0629.57007
Bonahon, F.; Siebenmann, L. C.
28
1987
Geometric structures on 3-manifolds. Zbl 0997.57032
Bonahon, Francis
25
2002
Measured pleated laminations of hyperbolic manifolds of dimension 3. Zbl 1083.57023
Bonahon, Francis; Otal, Jean-Pierre
22
2005
Scaled Gromov hyperbolic graphs. Zbl 1160.05017
Jonckheere, Edmond; Lohsoonthorn, Poonsuk; Bonahon, Francis
21
2008
Representations of the quantum Teichmüller space and invariants of surface diffeomorphisms. Zbl 1134.57008
Bonahon, Francis; Liu, Xiaobo
21
2007
Hyperideal polyhedra in hyperbolic 3-space. Zbl 1033.52009
Bao, Xiliang; Bonahon, Francis
21
2002
Geodesic laminations on surfaces. Zbl 0996.53029
Bonahon, Francis
21
2001
Representations of the Kauffman bracket skein algebra. I: Invariants and miraculous cancellations. Zbl 1383.57015
Bonahon, Francis; Wong, Helen
19
2016
Quantum traces for representations of surface groups in SL\(_{2}(\mathbb C)\). Zbl 1227.57003
Bonahon, Francis; Wong, Helen
18
2011
Geodesic laminations with transverse Hölder distributions. Zbl 0887.57018
Bonahon, Francis
15
1997
Geodesic currents on negatively curved groups. Zbl 0772.57004
Bonahon, Francis
15
1991
Transverse Hölder distributions for geodesic laminations. Zbl 0871.57027
Bonahon, Francis
14
1997
A Schläfli-type formula for convex cores of hyperbolic \(3\)-manifolds. Zbl 0944.53021
Bonahon, Francis
12
1998
Variétés hyperboliques à géodésiques arbitrairement courtes. (Hyperbolic manifolds with arbitrarily small closed geodesics). Zbl 0648.53027
Bonahon, Francis; Otal, Jean-Pierre
12
1988
The Weil-Petersson and Thurston symplectic forms. Zbl 1014.32009
Sözen, Yaşar; Bonahon, Francis
11
2001
Low-dimensional geometry. From Euclidean surfaces to hyperbolic knots. Zbl 1176.57001
Bonahon, Francis
10
2009
Earthquakes on Riemann surfaces and on measured geodesic laminations. Zbl 0754.32010
Bonahon, Francis
10
1992
Euclidean versus hyperbolic congestion in idealized versus experimental networks. Zbl 1245.68033
Edmond, Jonckheere; Lou, Mingji; Bonahon, Francis; Baryshnikov, Yuliy
9
2011
Ribbon fibred knots, cobordism of surface diffeomorphisms, and pseudo- Anosov diffeomorphisms. Zbl 0529.57004
Bonahon, F.
9
1983
Parameterizing Hitchin components. Zbl 1326.32023
Bonahon, Francis; Dreyer, Guillaume
8
2014
Variations of the boundary geometry of \(3\)-dimensional hyperbolic convex cores. Zbl 0937.53020
Bonahon, Francis
7
1998
Cobordisme des difféomorphismes de surfaces. Zbl 0464.57017
Bonahon, Francis
7
1980
Representations of the Kauffman bracket skein algebra. II: Punctured surfaces. Zbl 1422.57032
Bonahon, Francis; Wong, Helen
6
2017
Kleinian groups which are almost Fuchsian. Zbl 1085.30042
Bonahon, Francis
6
2005
The metric space of geodesic laminations on a surface. I. Zbl 1063.57019
Zhu, Xiaodong; Bonahon, Francis
6
2004
Hitchin characters and geodesic laminations. Zbl 1388.32006
Bonahon, Francis; Dreyer, Guillaume
5
2017
Kauffman brackets, character varieties and triangulations of surfaces. Zbl 1333.57022
Bonahon, Francis; Wong, Helen
5
2011
Scindements de Heegaard des espaces lenticulaires. Zbl 0502.57006
Bonahon, Francis; Otal, Jean-Pierre
5
1982
The Goldman and Fock-Goncharov coordinates for convex projective structures on surfaces. Zbl 1402.30040
Bonahon, Francis; Kim, Inkang
3
2018
The Witten-Reshetikhin-Turaev representation of the Kauffman bracket skein algebra. Zbl 1336.57043
Bonahon, Francis; Wong, Helen
3
2016
The metric space of geodesic laminations on a surface. II: Small surfaces. Zbl 1096.57016
Bonahon, Francis; Zhu, Xiaodong
3
2004
Surfaces with the same marked length spectrum. Zbl 0784.53030
Bonahon, Francis
2
1993
Quantum Teichmüller theory and representations of the pure braid group. Zbl 1229.57016
Bonahon, Francis
1
2008
Variation of the Liouville measure of a hyperbolic surface. Zbl 1060.37022
Bonahon, Francis; Sözen, Yaşar
1
2003
Limit sets and applications. Zbl 0747.58022
Bonahon, Francis
1
1991
The Goldman and Fock-Goncharov coordinates for convex projective structures on surfaces. Zbl 1402.30040
Bonahon, Francis; Kim, Inkang
3
2018
Representations of the Kauffman bracket skein algebra. II: Punctured surfaces. Zbl 1422.57032
Bonahon, Francis; Wong, Helen
6
2017
Hitchin characters and geodesic laminations. Zbl 1388.32006
Bonahon, Francis; Dreyer, Guillaume
5
2017
Representations of the Kauffman bracket skein algebra. I: Invariants and miraculous cancellations. Zbl 1383.57015
Bonahon, Francis; Wong, Helen
19
2016
The Witten-Reshetikhin-Turaev representation of the Kauffman bracket skein algebra. Zbl 1336.57043
Bonahon, Francis; Wong, Helen
3
2016
Parameterizing Hitchin components. Zbl 1326.32023
Bonahon, Francis; Dreyer, Guillaume
8
2014
Quantum traces for representations of surface groups in SL\(_{2}(\mathbb C)\). Zbl 1227.57003
Bonahon, Francis; Wong, Helen
18
2011
Euclidean versus hyperbolic congestion in idealized versus experimental networks. Zbl 1245.68033
Edmond, Jonckheere; Lou, Mingji; Bonahon, Francis; Baryshnikov, Yuliy
9
2011
Kauffman brackets, character varieties and triangulations of surfaces. Zbl 1333.57022
Bonahon, Francis; Wong, Helen
5
2011
Low-dimensional geometry. From Euclidean surfaces to hyperbolic knots. Zbl 1176.57001
Bonahon, Francis
10
2009
Scaled Gromov hyperbolic graphs. Zbl 1160.05017
Jonckheere, Edmond; Lohsoonthorn, Poonsuk; Bonahon, Francis
21
2008
Quantum Teichmüller theory and representations of the pure braid group. Zbl 1229.57016
Bonahon, Francis
1
2008
Representations of the quantum Teichmüller space and invariants of surface diffeomorphisms. Zbl 1134.57008
Bonahon, Francis; Liu, Xiaobo
21
2007
Measured pleated laminations of hyperbolic manifolds of dimension 3. Zbl 1083.57023
Bonahon, Francis; Otal, Jean-Pierre
22
2005
Kleinian groups which are almost Fuchsian. Zbl 1085.30042
Bonahon, Francis
6
2005
The metric space of geodesic laminations on a surface. I. Zbl 1063.57019
Zhu, Xiaodong; Bonahon, Francis
6
2004
The metric space of geodesic laminations on a surface. II: Small surfaces. Zbl 1096.57016
Bonahon, Francis; Zhu, Xiaodong
3
2004
Variation of the Liouville measure of a hyperbolic surface. Zbl 1060.37022
Bonahon, Francis; Sözen, Yaşar
1
2003
Geometric structures on 3-manifolds. Zbl 0997.57032
Bonahon, Francis
25
2002
Hyperideal polyhedra in hyperbolic 3-space. Zbl 1033.52009
Bao, Xiliang; Bonahon, Francis
21
2002
Geodesic laminations on surfaces. Zbl 0996.53029
Bonahon, Francis
21
2001
The Weil-Petersson and Thurston symplectic forms. Zbl 1014.32009
Sözen, Yaşar; Bonahon, Francis
11
2001
A Schläfli-type formula for convex cores of hyperbolic \(3\)-manifolds. Zbl 0944.53021
Bonahon, Francis
12
1998
Variations of the boundary geometry of \(3\)-dimensional hyperbolic convex cores. Zbl 0937.53020
Bonahon, Francis
7
1998
Geodesic laminations with transverse Hölder distributions. Zbl 0887.57018
Bonahon, Francis
15
1997
Transverse Hölder distributions for geodesic laminations. Zbl 0871.57027
Bonahon, Francis
14
1997
Shearing hyperbolic surfaces, bending pleated surfaces and Thurston’s symplectic form. Zbl 0880.57005
Bonahon, Francis
47
1996
Surfaces with the same marked length spectrum. Zbl 0784.53030
Bonahon, Francis
2
1993
Earthquakes on Riemann surfaces and on measured geodesic laminations. Zbl 0754.32010
Bonahon, Francis
10
1992
Geodesic currents on negatively curved groups. Zbl 0772.57004
Bonahon, Francis
15
1991
Limit sets and applications. Zbl 0747.58022
Bonahon, Francis
1
1991
The geometry of Teichmüller space via geodesic currents. Zbl 0653.32022
Bonahon, Francis
93
1988
Variétés hyperboliques à géodésiques arbitrairement courtes. (Hyperbolic manifolds with arbitrarily small closed geodesics). Zbl 0648.53027
Bonahon, Francis; Otal, Jean-Pierre
12
1988
The characteristic toric splitting of irreducible compact 3-orbifolds. Zbl 0629.57007
Bonahon, F.; Siebenmann, L. C.
28
1987
Bouts des variétés hyperboliques de dimension 3. (Ends of hyperbolic 3-dimensional manifolds). Zbl 0671.57008
Bonahon, Francis
167
1986
The classification of Seifert fibred 3-orbifolds. Zbl 0571.57011
Bonahon, F.; Siebenmann, L.
33
1985
Cobordism of automorphisms of surfaces. Zbl 0535.57016
Bonahon, Francis
43
1983
Difféotopies des espaces lenticulaires. Zbl 0526.57009
Bonahon, Francis
38
1983
Scindements de Heegaard des espaces lenticulaires. Zbl 0545.57002
Bonahon, Francis; Otal, Jean-Pierre
31
1983
Ribbon fibred knots, cobordism of surface diffeomorphisms, and pseudo- Anosov diffeomorphisms. Zbl 0529.57004
Bonahon, F.
9
1983
Scindements de Heegaard des espaces lenticulaires. Zbl 0502.57006
Bonahon, Francis; Otal, Jean-Pierre
5
1982
Cobordisme des difféomorphismes de surfaces. Zbl 0464.57017
Bonahon, Francis
7
1980
all top 5

Cited by 524 Authors

21 Bonahon, Francis
18 Ohshika, Ken’ichi
14 Canary, Richard D.
14 Souto, Juan
12 Brock, Jeffrey F.
12 Kapovich, Ilya
12 Minsky, Yair N.
12 Rodríguez García, José Manuel
9 Boileau, Michel Charles
9 Schlenker, Jean-Marc
8 Frohman, Charles D.
8 Leininger, Christopher J.
8 Miyachi, Hideki
8 Mj, Mahan
8 Sigarreta Almira, José María
7 Bridgeman, Martin J.
7 Bromberg, Kenneth W.
7 Kim, Inkang
7 Labourie, François
7 Luo, Feng
7 McCullough, Darryl
7 Šarić, Dragomir
6 Bowditch, Brian H.
6 Gabai, David
6 Lecuire, Cyril
6 Long, Darren D.
6 Lustig, Martin
6 Rafi, Kasra
5 Cooper, Daryl
5 Jonckheere, Edmond A.
5 Kalliongis, John E.
5 Koda, Yuya
5 McMullen, Curtis Tracy
5 Paoluzzi, Luisa
5 Pestana, Domingo
5 Reid, Alan W.
5 Sakuma, Makoto
5 Series, Caroline
5 Wong, Helen M.
5 Zhang, Tengren
4 Benedetti, Riccardo
4 Dumas, David
4 Goldman, William M.
4 Gordon, Cameron McA.
4 Le, Thang Tu Quoc
4 Lenzhen, Anna
4 Li, Tao
4 Liu, Xiaobo
4 Miller, Andy
4 Ozawa, Makoto
4 Schleimer, Saul
4 Taylor, Edward C.
4 Zimmermann, Bruno P.
3 Baseilhac, Stéphane
3 Biringer, Ian
3 Bonsante, Francesco
3 Calegari, Danny Matthew Cornelius
3 Casson, Andrew J.
3 Chekhov, Leonid O.
3 Cho, Sangbum
3 Erlandsson, Viveka
3 Fillastre, François
3 Friedl, Stefan
3 Futer, David
3 Hass, Joel
3 Ito, Kentaro
3 Kalfagianni, Efstratia
3 Kania-Bartoszyńska, Joanna
3 Kapovich, Michael
3 Kent, Autumn Exum
3 Kim, Hyun Kyu
3 Lee, Michelle
3 Lopez, Luis-Miguel
3 Miyazaki, Katura
3 Modami, Babak
3 Moriah, Yoav
3 Motegi, Kimihiko
3 Namazi, Hossein
3 Neofytidis, Christoforos
3 Otal, Jean-Pierre
3 Porti, Joan
3 Przytycki, Piotr
3 Purcell, Jessica S.
3 Sambarino, Andrés
3 Scharlemann, Martin G.
3 Seppi, Andrea
3 Soma, Teruhiko
3 Sozen, Yasar
3 Vidussi, Stefano
3 Villeta, María
3 Weber, Claude
3 Wu, Yingqing
3 Zhou, Ze
2 Abdiel, Nel
2 Allegretti, Dylan Gregory Lucasi
2 Anderson, James W.
2 Antonakoudis, Stergios M.
2 Arana-Herrera, Francisco
2 Atkinson, Christopher K.
2 Bachman, David
...and 424 more Authors
all top 5

Cited in 114 Serials

48 Topology and its Applications
42 Geometry & Topology
37 Transactions of the American Mathematical Society
37 Algebraic & Geometric Topology
34 Geometriae Dedicata
26 Inventiones Mathematicae
25 Duke Mathematical Journal
16 Journal of Knot Theory and its Ramifications
15 Proceedings of the American Mathematical Society
15 Geometric and Functional Analysis. GAFA
14 Mathematische Annalen
11 Mathematische Zeitschrift
11 Journal of the American Mathematical Society
10 Advances in Mathematics
10 Conformal Geometry and Dynamics
9 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
8 Annales de l’Institut Fourier
8 Ergodic Theory and Dynamical Systems
8 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
8 Journal of Topology
7 Bulletin of the American Mathematical Society. New Series
6 Mathematical Proceedings of the Cambridge Philosophical Society
5 Communications in Mathematical Physics
5 Annals of Mathematics. Second Series
5 Journal of High Energy Physics
5 Groups, Geometry, and Dynamics
4 Publications Mathématiques
4 Journal für die Reine und Angewandte Mathematik
4 Osaka Journal of Mathematics
4 Proceedings of the Indian Academy of Sciences. Mathematical Sciences
4 Journal of the European Mathematical Society (JEMS)
4 Quantum Information Processing
4 Journal of Topology and Analysis
3 Discrete Mathematics
3 Journal of Geometry and Physics
3 Acta Mathematica
3 Journal of Pure and Applied Algebra
3 Discrete & Computational Geometry
3 Electronic Research Announcements of the American Mathematical Society
3 Acta Mathematica Sinica. English Series
3 Symmetry
3 Forum of Mathematics, Sigma
2 Israel Journal of Mathematics
2 Journal d’Analyse Mathématique
2 Journal of Mathematical Analysis and Applications
2 Chaos, Solitons and Fractals
2 The Annals of Probability
2 Compositio Mathematica
2 Illinois Journal of Mathematics
2 Journal of the Mathematical Society of Japan
2 Proceedings of the Edinburgh Mathematical Society. Series II
2 Algorithmica
2 International Journal of Algebra and Computation
2 Differential Geometry and its Applications
2 The Journal of Geometric Analysis
2 Expositiones Mathematicae
2 Annales Mathématiques Blaise Pascal
2 Annales Academiae Scientiarum Fennicae. Mathematica
2 Communications in Contemporary Mathematics
2 Central European Journal of Mathematics
2 Internet Mathematics
2 Mediterranean Journal of Mathematics
2 Proceedings of the Steklov Institute of Mathematics
2 Journal of Modern Dynamics
2 Science China. Mathematics
2 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM
1 Bulletin of the Australian Mathematical Society
1 Computers & Mathematics with Applications
1 Journal of Statistical Physics
1 Mathematical Notes
1 Russian Mathematical Surveys
1 Mathematics of Computation
1 The Mathematical Intelligencer
1 Algebra and Logic
1 Annali di Matematica Pura ed Applicata. Serie Quarta
1 Applied Mathematics and Computation
1 Bulletin de la Société Mathématique de France
1 Commentarii Mathematici Helvetici
1 Glasgow Mathematical Journal
1 Journal of Differential Equations
1 Journal of Functional Analysis
1 Journal of Soviet Mathematics
1 Kodai Mathematical Journal
1 Michigan Mathematical Journal
1 Pacific Journal of Mathematics
1 Proceedings of the Japan Academy. Series A
1 Results in Mathematics
1 Theoretical Computer Science
1 European Journal of Combinatorics
1 Bulletin of the Iranian Mathematical Society
1 Revista Matemática Iberoamericana
1 Sugaku Expositions
1 International Journal of Mathematics
1 The Annals of Applied Probability
1 L’Enseignement Mathématique. 2e Série
1 Journal de Mathématiques Pures et Appliquées. Neuvième Série
1 Proceedings of the National Academy of Sciences of the United States of America
1 Turkish Journal of Mathematics
1 Selecta Mathematica. New Series
1 Journal of Group Theory
...and 14 more Serials
all top 5

Cited in 41 Fields

405 Manifolds and cell complexes (57-XX)
163 Functions of a complex variable (30-XX)
97 Group theory and generalizations (20-XX)
90 Differential geometry (53-XX)
83 Several complex variables and analytic spaces (32-XX)
59 Dynamical systems and ergodic theory (37-XX)
31 Combinatorics (05-XX)
21 Geometry (51-XX)
21 Convex and discrete geometry (52-XX)
18 Topological groups, Lie groups (22-XX)
18 Global analysis, analysis on manifolds (58-XX)
17 Quantum theory (81-XX)
10 Algebraic geometry (14-XX)
9 Algebraic topology (55-XX)
9 Probability theory and stochastic processes (60-XX)
5 Computer science (68-XX)
5 Relativity and gravitational theory (83-XX)
4 Commutative algebra (13-XX)
4 Nonassociative rings and algebras (17-XX)
3 Number theory (11-XX)
3 \(K\)-theory (19-XX)
3 Potential theory (31-XX)
3 Calculus of variations and optimal control; optimization (49-XX)
2 History and biography (01-XX)
2 Associative rings and algebras (16-XX)
2 Category theory; homological algebra (18-XX)
2 Measure and integration (28-XX)
2 Partial differential equations (35-XX)
2 Statistical mechanics, structure of matter (82-XX)
1 General and overarching topics; collections (00-XX)
1 Special functions (33-XX)
1 Ordinary differential equations (34-XX)
1 Functional analysis (46-XX)
1 General topology (54-XX)
1 Mechanics of particles and systems (70-XX)
1 Mechanics of deformable solids (74-XX)
1 Fluid mechanics (76-XX)
1 Geophysics (86-XX)
1 Operations research, mathematical programming (90-XX)
1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
1 Information and communication theory, circuits (94-XX)

Citations by Year

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