Formal Lagrangian Operad
Joint Authors
Felder, Giovanni
Cattaneo, Alberto S.
Dherin, Benoit
Source
International Journal of Mathematics and Mathematical Sciences
Issue
Vol. 2010, Issue 2010 (31 Dec. 2010), pp.1-36, 36 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2011-01-09
Country of Publication
Egypt
No. of Pages
36
Main Subjects
Abstract EN
Given a symplectic manifold M, we may define an operad structure on the the spaces Ok of the Lagrangian submanifolds of (M¯)k×M via symplectic reduction.
If M is also a symplectic groupoid, then its multiplication space is an associative product in this operad.
Following this idea, we provide a deformation theory for symplectic groupoids analog to the deformation theory of algebras.
It turns out that the semiclassical part of Kontsevich's deformation of C∞(ℝd) is a deformation of the trivial symplectic groupoid structure of T∗ℝd.
American Psychological Association (APA)
Cattaneo, Alberto S.& Dherin, Benoit& Felder, Giovanni. 2011. Formal Lagrangian Operad. International Journal of Mathematics and Mathematical Sciences،Vol. 2010, no. 2010, pp.1-36.
https://search.emarefa.net/detail/BIM-487691
Modern Language Association (MLA)
Cattaneo, Alberto S.…[et al.]. Formal Lagrangian Operad. International Journal of Mathematics and Mathematical Sciences No. 2010 (2010), pp.1-36.
https://search.emarefa.net/detail/BIM-487691
American Medical Association (AMA)
Cattaneo, Alberto S.& Dherin, Benoit& Felder, Giovanni. Formal Lagrangian Operad. International Journal of Mathematics and Mathematical Sciences. 2011. Vol. 2010, no. 2010, pp.1-36.
https://search.emarefa.net/detail/BIM-487691
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-487691
