## Feighn, Mark E.

Compute Distance To:
 Author ID: feighn.mark-e Published as: Feighn, Mark; Feighn, M.; Feighn, Mark E.; Feighn, M. E. more...less
 Documents Indexed: 28 Publications since 1984 Co-Authors: 5 Co-Authors with 25 Joint Publications 76 Co-Co-Authors

### Co-Authors

 3 single-authored 17 Bestvina, Mladen 8 Handel, Michael 2 McCullough, Darryl 1 Diao, Guo-An 1 Mess, Geoffrey
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### Serials

 4 Inventiones Mathematicae 3 American Journal of Mathematics 3 Annals of Mathematics. Second Series 3 Groups, Geometry, and Dynamics 2 Advances in Mathematics 2 Journal of Differential Geometry 2 Geometric and Functional Analysis. GAFA 2 Geometry & Topology 1 Collectanea Mathematica 1 Geometriae Dedicata 1 Topology 1 Transactions of the American Mathematical Society 1 Journal of Topology
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### Fields

 21 Manifolds and cell complexes (57-XX) 19 Group theory and generalizations (20-XX) 2 Topological groups, Lie groups (22-XX) 2 Functions of a complex variable (30-XX) 2 Algebraic topology (55-XX) 1 Mathematical logic and foundations (03-XX) 1 Combinatorics (05-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Differential geometry (53-XX)

### Citations contained in zbMATH Open

26 Publications have been cited 704 times in 445 Documents Cited by Year
A combination theorem for negatively curved groups. Zbl 0724.57029
Bestvina, M.; Feighn, M.
1992
Stable actions of groups on real trees. Zbl 0837.20047
1995
The Tits alternative for $$\text{Out}(F_n)$$. I: Dynamics of exponentially-growing automorphisms. Zbl 0984.20025
Bestvina, Mladen; Feighn, Mark; Handel, Michael
2000
Laminations, trees, and irreducible automorphisms of free groups. Zbl 0884.57002
Bestvina, M.; Feighn, M.; Handel, M.
1997
Hyperbolicity of the complex of free factors. Zbl 1348.20028
2014
Bounding the complexity of simplicial group actions on trees. Zbl 0724.20019
1991
A hyperbolic $$\text{Out}(F_n)$$-complex. Zbl 1190.20017
2010
The Tits alternative for $$\text{Out}(F_n)$$. II: A Kolchin type theorem. Zbl 1139.20026
Bestvina, Mladen; Feighn, Mark; Handel, Michael
2005
Mapping tori of free group automorphisms are coherent. Zbl 0938.20022
Feighn, Mark; Handel, Michael
1999
Notes on Sela’s work: limit groups and Makanin-Razborov diagrams. Zbl 1213.20039
2009
The topology at infinity of $$\text{Out} (F_n)$$. Zbl 0954.55011
2000
The recognition theorem for $$\text{Out}(F_n)$$. Zbl 1239.20036
Feighn, Mark; Handel, Michael
2011
Subfactor projections. Zbl 1346.20054
2014
Solvable subgroups of $$\text{Out}(F_n)$$ are virtually Abelian. Zbl 1052.20027
Bestvina, Mladen; Feighn, Mark; Handel, Michael
2004
Addendum and correction to ”A combination theorem for negatively curved groups”. Zbl 0862.57027
1996
Proper actions of lattices on contractible manifolds. Zbl 1041.57015
2002
Abelian subgroups of $$\text{Out}(F_n)$$. Zbl 1201.20031
Feighn, Mark; Handel, Michael
2009
Separation properties of codimension-1 immersions. Zbl 0658.57019
Feighn, Mark E.
1988
Algorithmic constructions of relative train track maps and CTs. Zbl 1456.20044
Feighn, Mark; Handel, Michael
2018
Conjugacy classes of finite subgroups of Kleinian groups. Zbl 0727.57011
Feighn, Mark; Mess, Geoffrey
1991
The Grushko decomposition of a finite graph of finite rank free groups: an algorithm. Zbl 1093.20022
Diao, Guo-An; Feighn, Mark
2005
Counting maps from a surface to a graph. Zbl 1193.20049
Bestvina, M.; Feighn, M.
2005
Branched covers according to J. W. Alexander. Zbl 0615.57006
Feighn, Mark E.
1986
A counterexample to generalized accessibility. Zbl 0826.20027
1991
Finiteness conditions for 3-manifolds with boundary. Zbl 0642.57001
Feighn, Mark; McCullough, Darryl
1987
Actions of finite groups on homotopy 3-spheres. Zbl 0561.57029
Feighn, M. E.
1984
Algorithmic constructions of relative train track maps and CTs. Zbl 1456.20044
Feighn, Mark; Handel, Michael
2018
Hyperbolicity of the complex of free factors. Zbl 1348.20028
2014
Subfactor projections. Zbl 1346.20054
2014
The recognition theorem for $$\text{Out}(F_n)$$. Zbl 1239.20036
Feighn, Mark; Handel, Michael
2011
A hyperbolic $$\text{Out}(F_n)$$-complex. Zbl 1190.20017
2010
Notes on Sela’s work: limit groups and Makanin-Razborov diagrams. Zbl 1213.20039
2009
Abelian subgroups of $$\text{Out}(F_n)$$. Zbl 1201.20031
Feighn, Mark; Handel, Michael
2009
The Tits alternative for $$\text{Out}(F_n)$$. II: A Kolchin type theorem. Zbl 1139.20026
Bestvina, Mladen; Feighn, Mark; Handel, Michael
2005
The Grushko decomposition of a finite graph of finite rank free groups: an algorithm. Zbl 1093.20022
Diao, Guo-An; Feighn, Mark
2005
Counting maps from a surface to a graph. Zbl 1193.20049
Bestvina, M.; Feighn, M.
2005
Solvable subgroups of $$\text{Out}(F_n)$$ are virtually Abelian. Zbl 1052.20027
Bestvina, Mladen; Feighn, Mark; Handel, Michael
2004
Proper actions of lattices on contractible manifolds. Zbl 1041.57015
2002
The Tits alternative for $$\text{Out}(F_n)$$. I: Dynamics of exponentially-growing automorphisms. Zbl 0984.20025
Bestvina, Mladen; Feighn, Mark; Handel, Michael
2000
The topology at infinity of $$\text{Out} (F_n)$$. Zbl 0954.55011
2000
Mapping tori of free group automorphisms are coherent. Zbl 0938.20022
Feighn, Mark; Handel, Michael
1999
Laminations, trees, and irreducible automorphisms of free groups. Zbl 0884.57002
Bestvina, M.; Feighn, M.; Handel, M.
1997
Addendum and correction to ”A combination theorem for negatively curved groups”. Zbl 0862.57027
1996
Stable actions of groups on real trees. Zbl 0837.20047
1995
A combination theorem for negatively curved groups. Zbl 0724.57029
Bestvina, M.; Feighn, M.
1992
Bounding the complexity of simplicial group actions on trees. Zbl 0724.20019
1991
Conjugacy classes of finite subgroups of Kleinian groups. Zbl 0727.57011
Feighn, Mark; Mess, Geoffrey
1991
A counterexample to generalized accessibility. Zbl 0826.20027
1991
Separation properties of codimension-1 immersions. Zbl 0658.57019
Feighn, Mark E.
1988
Finiteness conditions for 3-manifolds with boundary. Zbl 0642.57001
Feighn, Mark; McCullough, Darryl
1987
Branched covers according to J. W. Alexander. Zbl 0615.57006
Feighn, Mark E.
1986
Actions of finite groups on homotopy 3-spheres. Zbl 0561.57029
Feighn, M. E.
1984
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### Cited by 370 Authors

 31 Kapovich, Ilya 17 Guirardel, Vincent 13 Wise, Daniel T. 12 Martino, Armando 12 Mj, Mahan 11 Handel, Michael 11 Levitt, Gilbert 11 Mosher, Lee 10 Myasnikov, Alexei G. 9 Bridson, Martin R. 9 Hilion, Arnaud 9 Horbez, Camille 9 Lustig, Martin 8 Dahmani, François 8 Groves, Daniel P. 8 Taylor, Samuel Joseph 7 Francaviglia, Stefano 7 Rafi, Kasra 6 Brady, Noel 6 Pal, Abhijit 6 Pfaff, Catherine 6 Weidmann, Richard 5 Belegradek, Igor 5 Bestvina, Mladen 5 Bowditch, Brian H. 5 Dowdall, Spencer 5 Feighn, Mark E. 5 Hagen, Mark F. 5 Leininger, Christopher J. 5 Louder, Larsen 5 Neofytidis, Christoforos 5 Ohshika, Ken’ichi 5 Osin, Denis V. 5 Sapir, Mark Valentinovich 5 Sardar, Pranab 5 Sela, Zlil 5 Vogtmann, Karen 5 Wilton, Henry John Rutley 4 Algom-Kfir, Yael 4 Avramidi, Grigori 4 Bogopolski, Oleg 4 Clay, Matt T. 4 Coulbois, Thierry 4 Gautero, François 4 Gupta, Radhika 4 Kharlampovich, Olga G. 4 Maher, Joseph 4 Serbin, Denis E. 4 Sisto, Alessandro 4 Sklinos, Rizos 4 Skripchenko, Alexandra 4 Touikan, Nicholas W. M. 4 Uyanik, Caglar 4 Ventura Capell, Enric 4 Wade, Richard D. 3 Ciobanu, Laura 3 Coulon, Rémi 3 Farb, Benson 3 Gersten, Stephen M. 3 Gültepe, Funda 3 Howie, James 3 Jeon, Woojin 3 Kapovich, Michael 3 Meier, John 3 Mihalik, Michael L. 3 Mutanguha, Jean Pierre 3 Pandit, Suhas 3 Przytycki, Piotr 3 Remeslennikov, Vladimir Nikanorovich 3 Sykiotis, Mihalis 3 Syrigos, Dionysios 3 Tschantz, Steven Thomas 2 Baumslag, Gilbert 2 Carette, Mathieu 2 Cashen, Christopher H. 2 Crisp, John D. C. 2 Dani, Pallavi 2 Day, Matthew B. 2 Druţu, Cornelia 2 Dunwoody, Martin John 2 Dynnikov, Ivan Alekseevich 2 Farrell, F. Thomas 2 Fel’shtyn, Alexander 2 Forester, Max 2 Fujiwara, Koji 2 Gaboriau, Damien 2 Gadgil, Siddhartha 2 Ghosh, Pritam 2 Gitik, Rita 2 Grunewald, Fritz J. 2 Haglund, Frédéric 2 Hamenstädt, Ursula 2 Hull, Michael B. 2 Jullian, Yann 2 Kleiner, Bruce 2 Lécureux, Jean 2 Logan, Alan D. 2 Mangahas, Johanna 2 Manning, Jason Fox 2 Martin, Alexandre ...and 270 more Authors
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### Cited in 87 Serials

 35 Geometry & Topology 30 Transactions of the American Mathematical Society 27 Groups, Geometry, and Dynamics 25 Geometriae Dedicata 24 International Journal of Algebra and Computation 24 Algebraic & Geometric Topology 19 Israel Journal of Mathematics 15 Journal of Algebra 15 Geometric and Functional Analysis. GAFA 12 Annales de l’Institut Fourier 11 Topology and its Applications 10 Journal of Pure and Applied Algebra 10 Proceedings of the American Mathematical Society 10 Journal of Group Theory 9 Duke Mathematical Journal 8 Advances in Mathematics 7 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 7 Journal of Topology 6 Mathematical Proceedings of the Cambridge Philosophical Society 6 Inventiones Mathematicae 6 Mathematische Zeitschrift 6 Journal of Topology and Analysis 5 Mathematische Annalen 5 Memoirs of the American Mathematical Society 5 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 4 Communications in Algebra 4 Publications Mathématiques 4 Journal für die Reine und Angewandte Mathematik 4 Ergodic Theory and Dynamical Systems 4 Conformal Geometry and Dynamics 3 Acta Mathematica 3 Compositio Mathematica 3 Illinois Journal of Mathematics 3 Topology Proceedings 3 Electronic Research Announcements of the American Mathematical Society 3 Journal of Modern Dynamics 2 Rocky Mountain Journal of Mathematics 2 Bulletin of the London Mathematical Society 2 Commentarii Mathematici Helvetici 2 Journal of the London Mathematical Society. Second Series 2 Michigan Mathematical Journal 2 Proceedings of the London Mathematical Society. Third Series 2 Publicacions Matemàtiques 2 IMRN. International Mathematics Research Notices 2 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 2 Annals of Mathematics. Second Series 2 Journal of the European Mathematical Society (JEMS) 2 Transactions of the American Mathematical Society. Series B 1 Bulletin of the Australian Mathematical Society 1 Indian Journal of Pure & Applied Mathematics 1 Journal d’Analyse Mathématique 1 Journal of Mathematical Analysis and Applications 1 Archiv der Mathematik 1 Bulletin de la Société Mathématique de France 1 Glasgow Mathematical Journal 1 Journal of Functional Analysis 1 Monatshefte für Mathematik 1 Pacific Journal of Mathematics 1 Results in Mathematics 1 Transactions of the Moscow Mathematical Society 1 Annals of Pure and Applied Logic 1 Annals of Global Analysis and Geometry 1 Information and Computation 1 Journal of the Ramanujan Mathematical Society 1 The Journal of Geometric Analysis 1 Communications in Partial Differential Equations 1 Glasnik Matematički. Serija III 1 Linear Algebra and its Applications 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 Bulletin of the American Mathematical Society. New Series 1 Experimental Mathematics 1 Annales Mathématiques Blaise Pascal 1 Annales Henri Poincaré 1 Journal of the Australian Mathematical Society 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Bulletin of the Brazilian Mathematical Society. New Series 1 Journal of the Institute of Mathematics of Jussieu 1 Journal of Homotopy and Related Structures 1 Albanian Journal of Mathematics 1 Science China. Mathematics 1 Bulletin of Mathematical Sciences 1 International Journal of Group Theory 1 Transactions on Combinatorics 1 Annales de l’Institut Henri Poincaré D. Combinatorics, Physics and their Interactions (AIHPD) 1 Journal de l’École Polytechnique – Mathématiques 1 Proceedings of the American Mathematical Society. Series B 1 Journal of Combinatorial Algebra
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### Cited in 31 Fields

 386 Group theory and generalizations (20-XX) 230 Manifolds and cell complexes (57-XX) 57 Dynamical systems and ergodic theory (37-XX) 31 Differential geometry (53-XX) 24 Functions of a complex variable (30-XX) 20 Combinatorics (05-XX) 17 Topological groups, Lie groups (22-XX) 14 Mathematical logic and foundations (03-XX) 11 Several complex variables and analytic spaces (32-XX) 11 Algebraic topology (55-XX) 9 Computer science (68-XX) 7 Algebraic geometry (14-XX) 7 Abstract harmonic analysis (43-XX) 7 Probability theory and stochastic processes (60-XX) 6 Global analysis, analysis on manifolds (58-XX) 5 General topology (54-XX) 4 Associative rings and algebras (16-XX) 4 Functional analysis (46-XX) 3 Number theory (11-XX) 3 Category theory; homological algebra (18-XX) 3 $$K$$-theory (19-XX) 3 Measure and integration (28-XX) 2 Nonassociative rings and algebras (17-XX) 2 Geometry (51-XX) 2 Convex and discrete geometry (52-XX) 1 General and overarching topics; collections (00-XX) 1 Partial differential equations (35-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Mechanics of particles and systems (70-XX) 1 Optics, electromagnetic theory (78-XX) 1 Quantum theory (81-XX)