- -

Metric topology on the moduli space

RiuNet: Repositorio Institucional de la Universidad Politécnica de Valencia

Compartir/Enviar a

Citas

Estadísticas

  • Estadisticas de Uso

Metric topology on the moduli space

Mostrar el registro sencillo del ítem

Ficheros en el ítem

Thumbnail
Nombre: Deng - Metrc topology ...
Tamaño: 121.2Kb
Formato: PDF
Descripción: Versión editorial
Abrir
dc.contributor.author Deng, Jialong es_ES
dc.date.accessioned 2021-04-16T06:58:08Z
dc.date.available 2021-04-16T06:58:08Z
dc.date.issued 2021-04-01
dc.identifier.issn 1576-9402
dc.identifier.uri http://hdl.handle.net/10251/165235
dc.description.abstract [EN] We define the smooth Lipschitz topology on the moduli space and show that each conformal class is dense in the moduli space endowed with Gromov-Hausdorff topology, which offers an answer to Tuschmann’s question. es_ES
dc.description.sponsorship I thank Xuchao Yao for useful discussions. es_ES
dc.language Inglés es_ES
dc.publisher Universitat Politècnica de València es_ES
dc.relation.ispartof Applied General Topology es_ES
dc.rights Reconocimiento - No comercial - Sin obra derivada (by-nc-nd) es_ES
dc.subject Gromov-Hausdorff topology es_ES
dc.subject Ε-topology es_ES
dc.subject Lipschitz-topology es_ES
dc.subject Smooth Lipschitz-topology es_ES
dc.title Metric topology on the moduli space es_ES
dc.type Artículo es_ES
dc.identifier.doi 10.4995/agt.2021.13066
dc.rights.accessRights Abierto es_ES
dc.description.bibliographicCitation Deng, J. (2021). Metric topology on the moduli space. Applied General Topology. 22(1):11-15. https://doi.org/10.4995/agt.2021.13066 es_ES
dc.description.accrualMethod OJS es_ES
dc.relation.publisherversion https://doi.org/10.4995/agt.2021.13066 es_ES
dc.description.upvformatpinicio 11 es_ES
dc.description.upvformatpfin 15 es_ES
dc.type.version info:eu-repo/semantics/publishedVersion es_ES
dc.description.volume 22 es_ES
dc.description.issue 1 es_ES
dc.identifier.eissn 1989-4147
dc.relation.pasarela OJS\13066 es_ES
dc.description.references N. A'Campo, L. Ji and A. Papadopoulos, On the early history of moduli and Teichmüller spaces, arXiv e-prints, page arXiv:1602.07208, Feb 2016. es_ES
dc.description.references D. Burago, Y. Burago and S. Ivanov, A course in metric geometry, volume 33, Graduate Studies in Mathematics, American Mathematical Society, Providence, RI, 2001. https://doi.org/10.1090/gsm/033 es_ES
dc.description.references D. A. Edwards, The structure of superspace, in: Studies in topology (Proc. Conf., Univ. North Carolina, Charlotte, N. C., 1974 dedicated to Math. Sect. Polish Acad. Sci.), pages 121-133, 1975. https://doi.org/10.1016/B978-0-12-663450-1.50017-7 es_ES
dc.description.references A. E. Fischer, The theory of superspace, in: Relativity (Proc. Conf. Midwest, Cincinnati, Ohio, 1969), pages 303-357, 1970. https://doi.org/10.1007/978-1-4684-0721-1_16 es_ES
dc.description.references M. Gromov, Groups of polynomial growth and expanding maps, Inst. Hautes Études Sci. Publ. Math. 53 (1981), 53-73. https://doi.org/10.1007/BF02698687 es_ES
dc.description.references M. Gromov, Metric structures for Riemannian and non-Riemannian spaces, Modern Birkhäuser Classics, Birkhäuser Boston, Inc., Boston, MA (2007). es_ES
dc.description.references C.-H. Li, Quantum fluctuations, conformal deformations, and Gromov's topology - Wheeler, DeWitt, and Wilson meeting Gromov, arXiv e-prints, page arXiv:1509.03895, Sep 2015. es_ES
dc.description.references W. Tuschmann, Spaces and moduli spaces of Riemannian metrics, Front. Math. China 11, no. 5 (2016), 1335-1343. https://doi.org/10.1007/s11464-016-0576-1 es_ES
dc.description.references W. Tuschmann and D. J. Wraith, Moduli spaces of Riemannian metrics, volume 46, Oberwolfach Seminars, Birkhäuser Verlag, Basel, 2015. https://doi.org/10.1007/978-3-0348-0948-1 es_ES
dc.description.references J. A. Wheeler, Superspace, in: Analytic methods in mathematical physics (Sympos., Indiana Univ., Bloomington, Ind., 1968), pages 335-378, 1970. es_ES


Este ítem aparece en la(s) siguiente(s) colección(ones)

Mostrar el registro sencillo del ítem