Partially hyperbolic diffeomorphisms homotopic to the identity in dimension 3, II: Branching foliations
Resumen:
We study 3–dimensional partially hyperbolic diffeomorphisms that are homotopic to the identity, focusing on the geometry and dynamics of Burago and Ivanov’s center stable and center unstable branching foliations. This extends our previous study of the true foliations that appear in the dynamically coherent case. We complete the classification of such diffeomorphisms in Seifert fibered manifolds. In hyperbolic manifolds, we show that any such diffeomorphism is either dynamically coherent and has a power that is a discretized Anosov flow, or is of a new potential class called a double translation
| 2023 | |
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PARTIAL HYPERBOLICITY 3-MANIFOLDS FOLIATIONS |
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| Inglés | |
| Universidad de la República | |
| COLIBRI | |
| https://hdl.handle.net/20.500.12008/44820 | |
| Acceso abierto | |
| Licencia Creative Commons Atribución - No Comercial - Sin Derivadas (CC - By -4.0) |
| _version_ | 1807522809995329536 |
|---|---|
| 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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| collection | COLIBRI |
| dc.contributor.filiacion.none.fl_str_mv | Barthelmé Thomas Fenley Sergio Frankel Steven Potrie Altieri 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 | 2024-07-17T21:06:23Z |
| dc.date.available.none.fl_str_mv | 2024-07-17T21:06:23Z |
| dc.date.issued.none.fl_str_mv | 2023 |
| dc.description.abstract.none.fl_txt_mv | We study 3–dimensional partially hyperbolic diffeomorphisms that are homotopic to the identity, focusing on the geometry and dynamics of Burago and Ivanov’s center stable and center unstable branching foliations. This extends our previous study of the true foliations that appear in the dynamically coherent case. We complete the classification of such diffeomorphisms in Seifert fibered manifolds. In hyperbolic manifolds, we show that any such diffeomorphism is either dynamically coherent and has a power that is a discretized Anosov flow, or is of a new potential class called a double translation |
| dc.format.extent.es.fl_str_mv | 90 h. |
| dc.format.mimetype.es.fl_str_mv | application/pdf |
| dc.identifier.citation.es.fl_str_mv | Barthelmé, T, Fenley, S, Frankel, S [y otros autores]. "Partially hyperbolic diffeomorphisms homotopic to the identity in dimension 3, II: Branching foliations". Geometry & Topology. [en línea] 2023, 27(8): 3095–3181. 90 h. DOI: 10.2140/gt.2023.27.3095 |
| dc.identifier.doi.none.fl_str_mv | 10.2140/gt.2023.27.3095 |
| dc.identifier.eissn.none.fl_str_mv | 1364-0380 |
| dc.identifier.uri.none.fl_str_mv | https://hdl.handle.net/20.500.12008/44820 |
| dc.language.iso.none.fl_str_mv | en eng |
| dc.publisher.es.fl_str_mv | MSP |
| dc.relation.ispartof.es.fl_str_mv | Geometry & Topology, 2023 27 (8): 3095–3181 |
| dc.rights.license.none.fl_str_mv | Licencia Creative Commons Atribución - No Comercial - Sin Derivadas (CC - By -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.other.es.fl_str_mv | PARTIAL HYPERBOLICITY 3-MANIFOLDS FOLIATIONS |
| dc.title.none.fl_str_mv | Partially hyperbolic diffeomorphisms homotopic to the identity in dimension 3, II: Branching foliations |
| dc.type.es.fl_str_mv | Artículo |
| dc.type.none.fl_str_mv | info:eu-repo/semantics/article |
| dc.type.version.none.fl_str_mv | info:eu-repo/semantics/publishedVersion |
| description | We study 3–dimensional partially hyperbolic diffeomorphisms that are homotopic to the identity, focusing on the geometry and dynamics of Burago and Ivanov’s center stable and center unstable branching foliations. This extends our previous study of the true foliations that appear in the dynamically coherent case. We complete the classification of such diffeomorphisms in Seifert fibered manifolds. In hyperbolic manifolds, we show that any such diffeomorphism is either dynamically coherent and has a power that is a discretized Anosov flow, or is of a new potential class called a double translation |
| eu_rights_str_mv | openAccess |
| format | article |
| id | COLIBRI_49afd6e7ec1013a7390bd28b6b5a5e9f |
| identifier_str_mv | Barthelmé, T, Fenley, S, Frankel, S [y otros autores]. "Partially hyperbolic diffeomorphisms homotopic to the identity in dimension 3, II: Branching foliations". Geometry & Topology. [en línea] 2023, 27(8): 3095–3181. 90 h. DOI: 10.2140/gt.2023.27.3095 10.2140/gt.2023.27.3095 1364-0380 |
| 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:20.500.12008/44820 |
| publishDate | 2023 |
| 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 -4.0) |
| spelling | Barthelmé ThomasFenley SergioFrankel StevenPotrie Altieri Rafael, Universidad de la República (Uruguay). Facultad de Ciencias. Centro de Matemática.2024-07-17T21:06:23Z2024-07-17T21:06:23Z2023Barthelmé, T, Fenley, S, Frankel, S [y otros autores]. "Partially hyperbolic diffeomorphisms homotopic to the identity in dimension 3, II: Branching foliations". Geometry & Topology. [en línea] 2023, 27(8): 3095–3181. 90 h. DOI: 10.2140/gt.2023.27.3095https://hdl.handle.net/20.500.12008/4482010.2140/gt.2023.27.30951364-0380We study 3–dimensional partially hyperbolic diffeomorphisms that are homotopic to the identity, focusing on the geometry and dynamics of Burago and Ivanov’s center stable and center unstable branching foliations. This extends our previous study of the true foliations that appear in the dynamically coherent case. We complete the classification of such diffeomorphisms in Seifert fibered manifolds. In hyperbolic manifolds, we show that any such diffeomorphism is either dynamically coherent and has a power that is a discretized Anosov flow, or is of a new potential class called a double translationSubmitted by Egaña Florencia (florega@gmail.com) on 2024-07-16T17:57:20Z No. of bitstreams: 2 license_rdf: 25790 bytes, checksum: 489f03e71d39068f329bdec8798bce58 (MD5) gt-v27-n8-p03-s.pdf: 1049651 bytes, checksum: f85fa732c173dbd22f6a682afdccf8ca (MD5)Approved for entry into archive by Faget Cecilia (lfaget@fcien.edu.uy) on 2024-07-17T18:06:34Z (GMT) No. of bitstreams: 2 license_rdf: 25790 bytes, checksum: 489f03e71d39068f329bdec8798bce58 (MD5) gt-v27-n8-p03-s.pdf: 1049651 bytes, checksum: f85fa732c173dbd22f6a682afdccf8ca (MD5)Made available in DSpace by Seroubian Mabel (mabel.seroubian@seciu.edu.uy) on 2024-07-17T21:06:23Z (GMT). No. of bitstreams: 2 license_rdf: 25790 bytes, checksum: 489f03e71d39068f329bdec8798bce58 (MD5) gt-v27-n8-p03-s.pdf: 1049651 bytes, checksum: f85fa732c173dbd22f6a682afdccf8ca (MD5) Previous issue date: 202390 h.application/pdfenengMSPGeometry & Topology, 2023 27 (8): 3095–3181Las 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 -4.0)PARTIAL HYPERBOLICITY3-MANIFOLDSFOLIATIONSPartially hyperbolic diffeomorphisms homotopic to the identity in dimension 3, II: Branching foliationsArtículoinfo:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionreponame:COLIBRIinstname:Universidad de la Repúblicainstacron:Universidad de la RepúblicaBarthelmé, ThomasFenley, SergioFrankel, StevenPotrie Altieri, RafaelLICENSElicense.txtlicense.txttext/plain; charset=utf-84267http://localhost:8080/xmlui/bitstream/20.500.12008/44820/5/license.txt6429389a7df7277b72b7924fdc7d47a9MD55CC-LICENSElicense_urllicense_urltext/plain; charset=utf-850http://localhost:8080/xmlui/bitstream/20.500.12008/44820/2/license_urla006180e3f5b2ad0b88185d14284c0e0MD52license_textlicense_texttext/html; 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- Universidad de la Repúblicafalse |
| spellingShingle | Partially hyperbolic diffeomorphisms homotopic to the identity in dimension 3, II: Branching foliations Barthelmé, Thomas PARTIAL HYPERBOLICITY 3-MANIFOLDS FOLIATIONS |
| status_str | publishedVersion |
| title | Partially hyperbolic diffeomorphisms homotopic to the identity in dimension 3, II: Branching foliations |
| title_full | Partially hyperbolic diffeomorphisms homotopic to the identity in dimension 3, II: Branching foliations |
| title_fullStr | Partially hyperbolic diffeomorphisms homotopic to the identity in dimension 3, II: Branching foliations |
| title_full_unstemmed | Partially hyperbolic diffeomorphisms homotopic to the identity in dimension 3, II: Branching foliations |
| title_short | Partially hyperbolic diffeomorphisms homotopic to the identity in dimension 3, II: Branching foliations |
| title_sort | Partially hyperbolic diffeomorphisms homotopic to the identity in dimension 3, II: Branching foliations |
| topic | PARTIAL HYPERBOLICITY 3-MANIFOLDS FOLIATIONS |
| url | https://hdl.handle.net/20.500.12008/44820 |
