Geometric structures on loop and path spaces.

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dc.contributor.authorMuñoz, Vicente
dc.contributor.authorPresas , Francisco
dc.date.accessioned2023-06-20T00:19:02Z
dc.date.available2023-06-20T00:19:02Z
dc.date.issued2010
dc.description.abstractThe loop Space associated to a Riemannian manifold admits a quasi-symplectic structure (that is, a closed 2-form which is non-degenerate up to a finite-dimensional kernel). We show how to construct a compatible almost-complex structure. Finally conditions to have contact structures on loop spaces are studied.
dc.description.departmentDepto. de Álgebra, Geometría y Topología
dc.description.facultyFac. de Ciencias Matemáticas
dc.description.refereedTRUE
dc.description.sponsorshipMEC
dc.description.statuspub
dc.eprint.idhttps://eprints.ucm.es/id/eprint/17010
dc.identifier.doi10.1007/s12044-010-0036-x
dc.identifier.issn0253-4142
dc.identifier.officialurlhttp://www.springerlink.com/content/734p0x57268805n1/fulltext.pdf
dc.identifier.relatedurlhttp://www.springerlink.com
dc.identifier.urihttps://hdl.handle.net/20.500.14352/42385
dc.issue.number4
dc.journal.titleProceedings of the Indian Academy of Sciences
dc.language.isoeng
dc.page.final428
dc.page.initial417
dc.publisherIndian acad sciences
dc.relation.projectIDMTM2007-63582.
dc.rights.accessRightsrestricted access
dc.subject.cdu514
dc.subject.cdu5151.1
dc.subject.keywordLoop space
dc.subject.keywordSymplectic structures
dc.subject.keywordContact structures.
dc.subject.ucmGeometría
dc.subject.ucmTopología
dc.subject.unesco1204 Geometría
dc.subject.unesco1210 Topología
dc.titleGeometric structures on loop and path spaces.
dc.typejournal article
dc.volume.number120
dcterms.referencesAtiyah M F, Circular symmetry and stationary phase approximation, in: Colloque en honneur de Laurent Schwartz, Vol. 1, Asterisque 131 (1984) 43–59 Guest M A and Pressley A N, Holomorphic curves in loop groups, Commun. Math.Phys. 118 (1988) 511–527 Pressley A and Segal G, Loop groups, Oxford Mathematical Monographs, Oxford Science Publications (New York: The Clarendon Press, Oxford University Press)(1986) Segal G, Elliptic cohomology, in: Seminaire Bourbaki 40 (1987–88), no. 695,Asterisque 161–162 (1988) 187–201 Wurzbacher T, Symplectic geometry of the loop space of a symplectic manifold,J. Geom. Phys. 16 (1995) 345–384
dspace.entity.typePublication

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