๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

Deformation Quantization of Algebraic Varieties

โœ Scribed by Maxim Kontsevich

Book ID
110367777
Publisher
Springer
Year
2001
Tongue
English
Weight
214 KB
Volume
56
Category
Article
ISSN
0377-9017

No coin nor oath required. For personal study only.

๐Ÿ“œ SIMILAR VOLUMES

Deformation Quantization of Polynomial P
Deformation Quantization of Polynomial Poisson Algebras
โœ Michael Penkava; Pol Vanhaecke ๐Ÿ“‚ Article ๐Ÿ“… 2000 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 205 KB

This paper discusses the notion of a deformation quantization for an arbitrary polynomial Poisson algebra A. We compute an explicit third order deformation quantization of A and show that it comes from a quantized enveloping algebra. We show that this deformation extends to a fourth order deformatio

Infinitesimal deformations of double cov
Infinitesimal deformations of double covers of smooth algebraic varieties
โœ Sล‚awomir Cynk; Duco van Straten ๐Ÿ“‚ Article ๐Ÿ“… 2006 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 182 KB

## Abstract The goal of this paper is to give a method to compute the space of infinitesimal deformations of a double cover of a smooth algebraic variety. The space of all infinitesimal deformations has a representation as a direct sum of two subspaces. One is isomorphic to the space of simultaneou

Algebraic Rieffel induction, formal Mori
Algebraic Rieffel induction, formal Morita equivalence, and applications to deformation quantization
โœ Henrique Bursztyn; Stefan Waldmann ๐Ÿ“‚ Article ๐Ÿ“… 2001 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 385 KB

In this paper, we consider algebras with involution over a ring C which is given by the quadratic extension by i of an ordered ring R. We discuss the \* -representation theory of such \* -algebras on pre-Hilbert spaces over C and develop the notions of Rieffel induction and formal Morita equivalence