Publication: Geometric structures on loop and path spaces.
Loading...
Full text at PDC
Publication Date
2010
Authors
Advisors (or tutors)
Editors
Journal Title
Journal ISSN
Volume Title
Publisher
Indian acad sciences
Citations
Exportar
Abstract
The 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.
Description
Unesco subjects
Keywords
Citation
Atiyah 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