Hostname: page-component-78c5997874-ndw9j Total loading time: 0 Render date: 2024-11-13T06:41:08.432Z Has data issue: false hasContentIssue false
  • English
  • Français

On the Lie-formality of Poisson manifolds

Published online by Cambridge University Press:  04 March 2008

G. Sharygin  and
D. Talalaev
G. Sharygin
Affiliation:
sharygin@itep.ruInstitute for Theoretical and Experimental PhysicsITEP, 25 B. Cheremushkinskaya, Moscow, 117259, Russia
D. Talalaev
Affiliation:
talalaev@itep.ruInstitute for Theoretical and Experimental Physics, ITEP, 25 B. Cheremushkinskaya, Moscow, 117259, Russia
Get access

Abstract

In the present note we prove formality of the differential graded Lie algebra of de Rham forms on a smooth Poisson manifold.

Keywords

Poisson manifoldBrylinski complexL∞-algebraL∞-morphism
Type
Research Article
Information
Journal of K-Theory , Volume 2 , Special Issue 2: In Memory of Yurii Petrovich Solovyev October 8, 1944 – September 11, 2003 , October 2008 , pp. 361 - 384
Copyright
Copyright © ISOPP 2008

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

1.Kontsevich, M., Deformation quantization of Poisson manifolds, I, preprint arXiv:qalg/9709040Google Scholar
2.Penkava, M., Weldon, L., Infinity algebras, Massey products and deformations, preprint arXiv:math.QA/9808058Google Scholar
3.Sweedler, M. E., Hopf Algebras, W. A. Benjamin, New-York, 1969Google Scholar