Deformations of symplectic Lie algebroids, deformations of holomorphic symplectic structures, and index theorems
Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › fagfællebedømt
Standard
Deformations of symplectic Lie algebroids, deformations of holomorphic symplectic structures, and index theorems. / Nest, Ryszard; Tsygan, Boris.
I: Asian Journal of Mathematics, Bind 5, Nr. 4, 2001.Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › fagfællebedømt
Harvard
APA
Vancouver
Author
Bibtex
}
RIS
TY - JOUR
T1 - Deformations of symplectic Lie algebroids, deformations of holomorphic symplectic structures, and index theorems
AU - Nest, Ryszard
AU - Tsygan, Boris
N1 - Keywords: math.QA
PY - 2001
Y1 - 2001
N2 - Recently Kontsevich solved the classification problem for deformation quantizations of all Poisson structures on a manifold. In this paper we study those Poisson structures for which the explicit methods of Fedosov can be applied, namely the Poisson structures coming from symplectic Lie algebroids, as well as holomorphic symplectic structures. For deformations of these structures we prove the classification theorems and a general a general index theorem.
AB - Recently Kontsevich solved the classification problem for deformation quantizations of all Poisson structures on a manifold. In this paper we study those Poisson structures for which the explicit methods of Fedosov can be applied, namely the Poisson structures coming from symplectic Lie algebroids, as well as holomorphic symplectic structures. For deformations of these structures we prove the classification theorems and a general a general index theorem.
M3 - Journal article
VL - 5
JO - Asian Journal of Mathematics
JF - Asian Journal of Mathematics
SN - 1093-6106
IS - 4
ER -
ID: 9396367