5 Citations
Act globally, compute locally: group actions, fixed points, and localization
- Mathematics
- 2007
Localization is a topological technique that allows us to make global equivariant computations in terms of local data at the fixed points. For example, we may compute a global integral by summing…
Cyclic cohomology of Lie algebras
- Mathematics
- 2011
We define and completely determine the category of Yetter-Drinfeld modules over Lie algebras. We prove a one to one cor- respondence between Yetter-Drinfeld modules over a Lie algebra and those over…
References
SHOWING 1-10 OF 32 REFERENCES
Equivariant cohomology and the Maurer-Cartan equation
- Mathematics
- 2004
Let G be a compact, connected Lie group, acting smoothly on a manifold M. Goresky-Kottwitz-MacPherson described a small Cartan model for the equivariant cohomology of M, quasi-isomorphic to the…
BRST model for equivariant cohomology and representatives for the equivariant thom class
- Mathematics
- 1993
In this paper the BRST formalism for topological field theories is studied in a mathematical setting. The BRST operator is obtained as a member of a one parameter family of operators connecting the…
Instantons on Noncommutative ℝ4, and (2,0) Superconformal Six Dimensional Theory
- Physics, Mathematics
- 1998
Abstract:We show that the resolution of moduli space of ideal instantons parameterizes the instantons on noncommutative ℝ4. This moduli space appears to be the Higgs branch of the theory of…
Equivariant cohomology, Koszul duality, and the localization theorem
- Mathematics
- 1997
(1.1) This paper concerns three aspects of the action of a compact group K on a space X . The ®rst is concrete and the others are rather abstract. (1) Equivariantly formal spaces. These have the…
Noncommutative Manifolds, the Instanton Algebra¶and Isospectral Deformations
- Mathematics
- 2001
Abstract: We give new examples of noncommutative manifolds that are less standard than the NC-torus or Moyal deformations of ℝn. They arise naturally from basic considerations of noncommutative…
Quantum Groups
- Mathematics
- 1994
Here is an introduction to the theory of quantum groups with emphasis on the spectacular connections with knot theory and Drinfeld's recent fundamental contributions. It presents the quantum groups…
Covariant realization of quantum spaces as star products by Drinfeld twists
- Physics
- 2003
Covariance of a quantum space with respect to a quantum enveloping algebra ties the deformation of the multiplication of the space algebra to the deformation of the coproduct of the enveloping…
Deformation Quantization for Actions of R ]D
- Mathematics
- 1993
Oscillatory integrals The deformed product Function algebras The algebra of bounded operators Functoriality for the operator norm Norms of deformed deformations Smooth vectors, and exactness…