Dynamical incoherence for a large class of partially hyperbolic diffeomorphisms
Resumen:
We show that if a partially hyperbolic diffeomorphism of a Seifert manifold induces a map in the base which has a pseudo-Anosov component then it cannot be dynamically coherent. This extends work of Bonatti, Gogolev, Hammerlindl and Potrie to the whole isotopy class. We relate the techniques with the study of certain partially hyperbolic diffeomorphisms in hyperbolic 3-manifolds performed in the previous paper by the authors. The appendix reviews some consequences of the Nielsen-Thurston classification of surface homeomorphisms to the dynamics of lifts of such maps to the universal cover.
| 2020 | |
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Partial hyperbolicity 3-manifold topology Foliations Classification |
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| Inglés | |
| Universidad de la República | |
| COLIBRI | |
| https://hdl.handle.net/20.500.12008/38121 | |
| Acceso abierto | |
| Licencia Creative Commons Atribución - No Comercial - Sin Derivadas (CC - By-NC-ND 4.0) |
| _version_ | 1807522796361744384 |
|---|---|
| author | Barthelmé, Thomas |
| author2 | Fenley, Sergio Frankel, Steven Potrie Altieri, Rafael |
| author2_role | author author author |
| author_facet | Barthelmé, Thomas Fenley, Sergio Frankel, Steven Potrie Altieri, Rafael |
| author_role | author |
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| bitstream.checksumAlgorithm.fl_str_mv | MD5 MD5 MD5 MD5 MD5 |
| bitstream.url.fl_str_mv | http://localhost:8080/xmlui/bitstream/20.500.12008/38121/6/2002.10315.pdf http://localhost:8080/xmlui/bitstream/20.500.12008/38121/5/license.txt http://localhost:8080/xmlui/bitstream/20.500.12008/38121/2/license_url http://localhost:8080/xmlui/bitstream/20.500.12008/38121/3/license_text http://localhost:8080/xmlui/bitstream/20.500.12008/38121/4/license_rdf |
| collection | COLIBRI |
| dc.contributor.filiacion.none.fl_str_mv | Barthelmé Thomas, Queen’s University Fenley Sergio, Florida State University Frankel Steven, Washington University in St Louis Potrie Rafael, Universidad de la República (Uruguay). Facultad de Ciencias. Centro de Matemática. |
| dc.creator.none.fl_str_mv | Barthelmé, Thomas Fenley, Sergio Frankel, Steven Potrie Altieri, Rafael |
| dc.date.accessioned.none.fl_str_mv | 2023-07-13T14:15:28Z |
| dc.date.available.none.fl_str_mv | 2023-07-13T14:15:28Z |
| dc.date.issued.none.fl_str_mv | 2020 |
| dc.description.abstract.none.fl_txt_mv | We show that if a partially hyperbolic diffeomorphism of a Seifert manifold induces a map in the base which has a pseudo-Anosov component then it cannot be dynamically coherent. This extends work of Bonatti, Gogolev, Hammerlindl and Potrie to the whole isotopy class. We relate the techniques with the study of certain partially hyperbolic diffeomorphisms in hyperbolic 3-manifolds performed in the previous paper by the authors. The appendix reviews some consequences of the Nielsen-Thurston classification of surface homeomorphisms to the dynamics of lifts of such maps to the universal cover. |
| dc.description.es.fl_txt_mv | Publicado también como: Ergodic Theory and Dynamical Systems , 2021, 41(11): 3227 - 3243 . DOI: 10.1017/etds.2020.113 |
| dc.format.extent.es.fl_str_mv | 18 h |
| dc.format.mimetype.es.fl_str_mv | application/pdf |
| dc.identifier.citation.es.fl_str_mv | Barthelmé, T, Fenley, S, Frankel, S [y otro autor]. "Dynamical incoherence for a large class of partially hyperbolic diffeomorphisms". [Preprint]. Pulicado en: Mathematics (Dynamical Systems), 2020, arXiv:2002.10315, feb 2020, pp1-18. 18 h. |
| dc.identifier.uri.none.fl_str_mv | https://hdl.handle.net/20.500.12008/38121 |
| dc.language.iso.none.fl_str_mv | en eng |
| dc.publisher.es.fl_str_mv | arXiv |
| dc.relation.ispartof.es.fl_str_mv | Mathematics (Dynamical Systems), arXiv:2002.10315, feb 2020, pp1-18 |
| dc.rights.license.none.fl_str_mv | Licencia Creative Commons Atribución - No Comercial - Sin Derivadas (CC - By-NC-ND 4.0) |
| dc.rights.none.fl_str_mv | info:eu-repo/semantics/openAccess |
| dc.source.none.fl_str_mv | reponame:COLIBRI instname:Universidad de la República instacron:Universidad de la República |
| dc.subject.es.fl_str_mv | Partial hyperbolicity 3-manifold topology Foliations Classification |
| dc.title.none.fl_str_mv | Dynamical incoherence for a large class of partially hyperbolic diffeomorphisms |
| dc.type.es.fl_str_mv | Preprint |
| dc.type.none.fl_str_mv | info:eu-repo/semantics/preprint |
| dc.type.version.none.fl_str_mv | info:eu-repo/semantics/submittedVersion |
| description | Publicado también como: Ergodic Theory and Dynamical Systems , 2021, 41(11): 3227 - 3243 . DOI: 10.1017/etds.2020.113 |
| eu_rights_str_mv | openAccess |
| format | preprint |
| id | COLIBRI_e2b7d95604499803d00218d934e1cffc |
| identifier_str_mv | Barthelmé, T, Fenley, S, Frankel, S [y otro autor]. "Dynamical incoherence for a large class of partially hyperbolic diffeomorphisms". [Preprint]. Pulicado en: Mathematics (Dynamical Systems), 2020, arXiv:2002.10315, feb 2020, pp1-18. 18 h. |
| instacron_str | Universidad de la República |
| institution | Universidad de la República |
| instname_str | Universidad de la República |
| language | eng |
| language_invalid_str_mv | en |
| network_acronym_str | COLIBRI |
| network_name_str | COLIBRI |
| oai_identifier_str | oai:colibri.udelar.edu.uy:20.500.12008/38121 |
| publishDate | 2020 |
| reponame_str | COLIBRI |
| repository.mail.fl_str_mv | mabel.seroubian@seciu.edu.uy |
| repository.name.fl_str_mv | COLIBRI - Universidad de la República |
| repository_id_str | 4771 |
| rights_invalid_str_mv | Licencia Creative Commons Atribución - No Comercial - Sin Derivadas (CC - By-NC-ND 4.0) |
| spelling | Barthelmé Thomas, Queen’s UniversityFenley Sergio, Florida State UniversityFrankel Steven, Washington University in St LouisPotrie Rafael, Universidad de la República (Uruguay). Facultad de Ciencias. Centro de Matemática.2023-07-13T14:15:28Z2023-07-13T14:15:28Z2020Barthelmé, T, Fenley, S, Frankel, S [y otro autor]. "Dynamical incoherence for a large class of partially hyperbolic diffeomorphisms". [Preprint]. Pulicado en: Mathematics (Dynamical Systems), 2020, arXiv:2002.10315, feb 2020, pp1-18. 18 h.https://hdl.handle.net/20.500.12008/38121Publicado también como: Ergodic Theory and Dynamical Systems , 2021, 41(11): 3227 - 3243 . DOI: 10.1017/etds.2020.113We show that if a partially hyperbolic diffeomorphism of a Seifert manifold induces a map in the base which has a pseudo-Anosov component then it cannot be dynamically coherent. This extends work of Bonatti, Gogolev, Hammerlindl and Potrie to the whole isotopy class. We relate the techniques with the study of certain partially hyperbolic diffeomorphisms in hyperbolic 3-manifolds performed in the previous paper by the authors. The appendix reviews some consequences of the Nielsen-Thurston classification of surface homeomorphisms to the dynamics of lifts of such maps to the universal cover.Submitted by Faget Cecilia (lfaget@fcien.edu.uy) on 2023-07-13T13:09:22Z No. of bitstreams: 2 license_rdf: 23149 bytes, checksum: 1996b8461bc290aef6a27d78c67b6b52 (MD5) 101017etds202182.pdf: 369989 bytes, checksum: 961d5ad10898d8f19d4eecba72b0670a (MD5)Approved for entry into archive by Faget Cecilia (lfaget@fcien.edu.uy) on 2023-07-13T13:25:01Z (GMT) No. of bitstreams: 2 license_rdf: 23149 bytes, checksum: 1996b8461bc290aef6a27d78c67b6b52 (MD5) 101017etds202182.pdf: 369989 bytes, checksum: 961d5ad10898d8f19d4eecba72b0670a (MD5)Made available in DSpace by Luna Fabiana (fabiana.luna@seciu.edu.uy) on 2023-07-13T14:15:28Z (GMT). No. of bitstreams: 2 license_rdf: 23149 bytes, checksum: 1996b8461bc290aef6a27d78c67b6b52 (MD5) 101017etds202182.pdf: 369989 bytes, checksum: 961d5ad10898d8f19d4eecba72b0670a (MD5) Previous issue date: 202018 happlication/pdfenengarXivMathematics (Dynamical Systems), arXiv:2002.10315, feb 2020, pp1-18Las obras depositadas en el Repositorio se rigen por la Ordenanza de los Derechos de la Propiedad Intelectual de la Universidad de la República.(Res. Nº 91 de C.D.C. de 8/III/1994 – D.O. 7/IV/1994) y por la Ordenanza del Repositorio Abierto de la Universidad de la República (Res. Nº 16 de C.D.C. de 07/10/2014)info:eu-repo/semantics/openAccessLicencia Creative Commons Atribución - No Comercial - Sin Derivadas (CC - By-NC-ND 4.0)Partial hyperbolicity3-manifold topologyFoliationsClassificationDynamical incoherence for a large class of partially hyperbolic diffeomorphismsPreprintinfo:eu-repo/semantics/preprintinfo:eu-repo/semantics/submittedVersionreponame:COLIBRIinstname:Universidad de la Repúblicainstacron:Universidad de la RepúblicaBarthelmé, ThomasFenley, SergioFrankel, StevenPotrie Altieri, RafaelORIGINAL2002.10315.pdf2002.10315.pdfapplication/pdf428876http://localhost:8080/xmlui/bitstream/20.500.12008/38121/6/2002.10315.pdf9f1f365be2f77720d612e37984a0727aMD56LICENSElicense.txtlicense.txttext/plain; charset=utf-84267http://localhost:8080/xmlui/bitstream/20.500.12008/38121/5/license.txt6429389a7df7277b72b7924fdc7d47a9MD55CC-LICENSElicense_urllicense_urltext/plain; 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- Universidad de la Repúblicafalse |
| spellingShingle | Dynamical incoherence for a large class of partially hyperbolic diffeomorphisms Barthelmé, Thomas Partial hyperbolicity 3-manifold topology Foliations Classification |
| status_str | submittedVersion |
| title | Dynamical incoherence for a large class of partially hyperbolic diffeomorphisms |
| title_full | Dynamical incoherence for a large class of partially hyperbolic diffeomorphisms |
| title_fullStr | Dynamical incoherence for a large class of partially hyperbolic diffeomorphisms |
| title_full_unstemmed | Dynamical incoherence for a large class of partially hyperbolic diffeomorphisms |
| title_short | Dynamical incoherence for a large class of partially hyperbolic diffeomorphisms |
| title_sort | Dynamical incoherence for a large class of partially hyperbolic diffeomorphisms |
| topic | Partial hyperbolicity 3-manifold topology Foliations Classification |
| url | https://hdl.handle.net/20.500.12008/38121 |
