CIRM - Videos & books LibraryDocuments

Déposez votre fichier ici pour le déplacer vers cet enregistrement.

Research Talks;Algebra;Dynamical Systems and Ordinary Differential Equations;Geometry;Topology

An endomorphism of a finitely generated free group naturally descends to an injective endomorphism on the stable quotient. We establish a geometric incarnation of this fact : an expanding irreducible train track map inducing an endomorphism of the fundamental group determines an expanding irreducible train track representative of the injective endomorphism of the stable quotient. As an application, we prove that the property of having fully irreducible monodromy for a splitting of a hyperbolic free-by-cyclic group G depends only on the component of the BNS invariant $\sum \left ( G \right )$ containing the associated homomorphism to the integers. In particular, it follows that if G is the mapping torus of an atoroidal fully irreducible automorphism of a free group and if the union of $\sum \left ( G \right ) $ and $\sum \left ( G \right )$ is connected then for every splitting of $G$ as a (f.g. free)-by-(infinite cyclic) group the monodromy is fully irreducible.
This talk is based on joint work with Spencer Dowdall and Christopher Leininger. An endomorphism of a finitely generated free group naturally descends to an injective endomorphism on the stable quotient. We establish a geometric incarnation of this fact : an expanding irreducible train track map inducing an endomorphism of the fundamental group determines an expanding irreducible train track representative of the injective endomorphism of the stable quotient. As an application, we prove that the property of having fully ...

Documents

Thesaurus

Revues

Documents 57Mxx | enregistrements trouvés : 69

Endomorphisms, train track maps, and fully irreducible monodromies Kapovich, Ilya | CIRM H Nouveau

Low dimensional topology :special session on... organized and conducted by the a.m.s.#Jan. 7-11 Lomonaco, Samuel J. | American Mathematical Society 1983 Nouveau

Low dimensional topology :third topology seminar of the university of sussex held at the white house#Aug. 2 - 6 Fenn, Roger | Cambridge University Press 1985 Nouveau

Low-dimensional topology. Vol. 1 :proceedings of the conference on... held at the university college of North WalesBangor#July 2-5 Brown, R. ; Thickstun, T. L. | Cambridge University Press 1982 Nouveau

Four-manifold theory :proceedings of the a.m.s.-i.m.s.-s.i.a.m. joint summer research conference in mathematical sciences on... held at durham#July 4-10 Gordon, Cameron ; Kirby, Robion | American Mathematical Society 1984 Nouveau

Combinatorial methods in topology and algebraic geometry :proceedings of a conference in honor of arthur m. stone held at the university of rochester#June 29 - July 2 Harper, John R. ; Mandelbaum, Richard | American Mathematical Society 1985 Nouveau

Braids :proceedings of a summer research conference on... held at university of california#July 13-26 Birman, Joan S. ; Libgober, Anatoly | American Mathematical Society 1988 Nouveau

Topology and geometry-rodhlin seminar Viro, O. Ya | Springer-Verlag 1988 Nouveau

Low dimensional topology and kleinian groups#warwick and durham Epstein, B. | Cambridge University Press 1986 Nouveau

Differential geometry and topologyproceedings of the special year at nankai institute of mathematics,tianjin,chi na,1986-87 Hou, Zixin ; Jiang, Boju ; Peng, Chia-Kuei | Springer-Verlag 1989 Nouveau

Geometry of low-dimensional manifolds :gauge theory and algebraic surfaces, proceedings of the Durham Symposium#July 1989 Donaldson, S. K. ; Thomas, C. B. | Cambridge University Press 1990 Nouveau

Low-dimensional topologyconference on ... held at the University of TennesseMay 18-26 Johannson, Klaus | International Press 1994 Nouveau

Geometry, topology and physicsproceedings of the first Brazil-USA workshopJune 30 - July 7 Apanasov, Boris N. ; Bradlow, Steven B. ; Rodrigues, Waldyr A. | Walter De Gruyter 1997 Nouveau

Low dimensional topology :proceedings of the summer school on ... #Aug. 3-14 Böröczky, Karoly ; Neumann, Walter ; Stipsicz, András | János Bolyai Mathematical Society 1999 Nouveau

Low dimensional topology :proceedings of the conference on ...#Jan. 12-17 Nencka, Hanna | American Mathematical Society 1999 Nouveau

Laminations and foliations in dynamics, geometry and topology :proceedings of the conference on ... held at SUNY#May 18-24 Lyubich, Mikhail ; Milnor, John W. ; Minsky, Yair N. | American Mathematical Society 2001 Nouveau

Computational and statistical group theory :AMS special session geometric group theory and computational groupe threory#April 21-22 and 28-29 Gilman, Robert ; Myasnikov, Alexei G. ; Shpilrain, Vladimir | American Mathematical Society 2002 Nouveau

Combinatorial and geometric group theory :AMS special session on ...#Nov. 4-5 and April 28-29 Cleary, Sean ; Gilman, Robert ; Myasnikov, Alexei G. | American Mathematical Society 2002 Nouveau

Groupes et géométrie :journée annuelle Boileau, Michel ; Masbaum, Gregor ; Pansu, Pierre | S.M.F. 2003 Nouveau

Séminaire Bourbaki. Vol. 1990/91 :exposés 730-744 | Société Mathématique de France 1991 Nouveau

Filtrer

Type

Domaine

Codes MSC

Documents

Références

Auteurs

Thesaurus

Low dimensional topology :
special session on... organized and conducted by the a.m.s.#Jan. 7-11 Lomonaco, Samuel J. | American Mathematical Society 1983 Nouveau

Low dimensional topology :
third topology seminar of the university of sussex held at the white house#Aug. 2 - 6 Fenn, Roger | Cambridge University Press 1985 Nouveau

Low-dimensional topology. Vol. 1 :
proceedings of the conference on... held at the university college of North Wales
Bangor#July 2-5 Brown, R. ; Thickstun, T. L. | Cambridge University Press 1982 Nouveau

Four-manifold theory :
proceedings of the a.m.s.-i.m.s.-s.i.a.m. joint summer research conference in mathematical sciences on... held at durham#July 4-10 Gordon, Cameron ; Kirby, Robion | American Mathematical Society 1984 Nouveau

Combinatorial methods in topology and algebraic geometry :
proceedings of a conference in honor of arthur m. stone held at the university of rochester#June 29 - July 2 Harper, John R. ; Mandelbaum, Richard | American Mathematical Society 1985 Nouveau

Braids :
proceedings of a summer research conference on... held at university of california#July 13-26 Birman, Joan S. ; Libgober, Anatoly | American Mathematical Society 1988 Nouveau

Low dimensional topology and kleinian groups#
warwick and durham Epstein, B. | Cambridge University Press 1986 Nouveau

Differential geometry and topology
proceedings of the special year at nankai institute of mathematics,tianjin,chi na,1986-87 Hou, Zixin ; Jiang, Boju ; Peng, Chia-Kuei | Springer-Verlag 1989 Nouveau

Geometry of low-dimensional manifolds :
gauge theory and algebraic surfaces, proceedings of the Durham Symposium#July 1989 Donaldson, S. K. ; Thomas, C. B. | Cambridge University Press 1990 Nouveau

Low-dimensional topology
conference on ... held at the University of Tennesse
May 18-26 Johannson, Klaus | International Press 1994 Nouveau

Geometry, topology and physics
proceedings of the first Brazil-USA workshop
June 30 - July 7 Apanasov, Boris N. ; Bradlow, Steven B. ; Rodrigues, Waldyr A. | Walter De Gruyter 1997 Nouveau

Low dimensional topology :
proceedings of the summer school on ... #Aug. 3-14 Böröczky, Karoly ; Neumann, Walter ; Stipsicz, András | János Bolyai Mathematical Society 1999 Nouveau

Low dimensional topology :
proceedings of the conference on ...#Jan. 12-17 Nencka, Hanna | American Mathematical Society 1999 Nouveau

Laminations and foliations in dynamics, geometry and topology :
proceedings of the conference on ... held at SUNY#May 18-24 Lyubich, Mikhail ; Milnor, John W. ; Minsky, Yair N. | American Mathematical Society 2001 Nouveau

Computational and statistical group theory :
AMS special session geometric group theory and computational groupe threory#April 21-22 and 28-29 Gilman, Robert ; Myasnikov, Alexei G. ; Shpilrain, Vladimir | American Mathematical Society 2002 Nouveau

Combinatorial and geometric group theory :
AMS special session on ...#Nov. 4-5 and April 28-29 Cleary, Sean ; Gilman, Robert ; Myasnikov, Alexei G. | American Mathematical Society 2002 Nouveau

Groupes et géométrie :
journée annuelle Boileau, Michel ; Masbaum, Gregor ; Pansu, Pierre | S.M.F. 2003 Nouveau

Séminaire Bourbaki. Vol. 1990/91 :
exposés 730-744 | Société Mathématique de France 1991 Nouveau