## 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…