## 44 Citations

### Chern-Weil Construction for Twisted K-Theory

- Mathematics
- 2010

We give a finite-dimensional and geometric construction of a Chern character for twisted K-theory, introducing a notion of connection on a twisted vectorial bundle which can be considered as a…

### Twisted K-theory and cohomology

- Mathematics
- 2005

We explore the relations of twisted K-theory to twisted and untwisted classical cohomology. We construct an Atiyah-Hirzebruch spectral sequence, and describe its differentials rationally as Massey…

### Supersymmetric Field Theories from Twisted Vector Bundles

- MathematicsCommunications in Mathematical Physics
- 2019

We give a description of the delocalized twisted cohomology of an orbifold and the Chern character of a twisted vector bundle in terms of supersymmetric Euclidean field theories. This includes the…

### Chern character for twisted complexes

- Mathematics
- 2007

We construct the Chern character from the K-theory of twisted perfect complexes of an algebroid stack to the negative cyclic homology of the algebra of twisted matrices associated to the stack.

### DELOCALIZED CHERN CHARACTER FOR STRINGY

- Mathematics
- 2013

In this paper, we define a stringy product on K∗ orb(X) ⊗ C, the orbifold K-theory of any almost complex presentable orbifold X. We establish that under this stringy product, the delocalized Chern…

### Delocalized Chern character for stringy orbifold K-theory

- Mathematics
- 2011

In this paper, we define a stringy product on K � orb(X) C, the orbifold K-theory of any almost complex presentable orbifold X. We establish that under this stringy product, the delocali zed Chern…

### Periodic cyclic homology and equivariant gerbes

- Mathematics
- 2016

This paper is our first step in establishing a de Rham model for equivariant twisted K-theory using machinery from noncommutative geometry. Let G be a compact Lie group, M a compact manifold on which…

### Twisted differential cohomology

- MathematicsAlgebraic & Geometric Topology
- 2019

The main goal of the present paper is the construction of twisted generalized differential cohomology theories and the comprehensive statement of its basic functorial properties. Technically it…

### The character map in (twisted differential) non-abelian cohomology

- Mathematics
- 2020

We extend the Chern character on K-theory, in its generalization to the Chern-Dold character on generalized cohomology theories, further to (twisted, differential) non-abelian cohomology theories,…

### Twisted K-theory – old and new

- Mathematics
- 2007

Twisted K-theory has its origins in the author's PhD thesis (27) and in a paper with P. Donovan (19). The objective of this paper is to revisit the subject in the light of new developments inspired…

## References

SHOWING 1-10 OF 39 REFERENCES

### Discrete Torsion and Twisted Orbifold Cohomology

- Mathematics
- 2000

In this article, we study the twisting procedure of orbifold cohomology. We introduce local system and construct twisted orbifold cohomology. Then, we generalize Vafa-Witten's notion of discrete…

### Twisted Orbifold K-Theory

- Mathematics
- 2003

Abstract: We use equivariant methods to define and study the orbifold K-theory of an orbifold X. Adapting techniques from equivariant K-theory, we construct a Chern character and exhibit a…

### Loop Groupoids, Gerbes, and Twisted Sectors on Orbifolds

- Mathematics
- 2001

The purpose of this paper is to introduce the notion of loop groupoid associated to a groupoid. After studying the general properties of the loop groupoid, we show how this notion provides a very…

### Cyclic cohomology of etale groupoids

- Mathematics
- 1994

We extend Connes’s computation of the cyclic cohomology groups of smooth algebras arising from foliations with separated graphs. We find that the characteristic classes of foliations factor through…

### Characters of Cycles, Equivariant Characteristic Classes and Fredholm Modules

- Mathematics
- 1998

Abstract:We derive simple explicit formula for the character of a cycle in the Connes' (b, B)-bicomplex of cyclic cohomology and apply it to write formulas for the equivariant Chern character and…

### On Continuous Hochschild comology and Cohomology Groups

- Mathematics
- 1998

Using the method of continuous projective resolutions established by Alain Connes, we calculate the continuous Hochschild homology and cohomology groups of the Fréchet algebra of smooth functions on…

### A homology theory for étale groupoids

- Mathematics
- 1999

Etale groupoids arise naturally as models for leaf spaces of foliations for orbifolds and for orbit spaces of discrete group actions In this paper we introduce a sheaf homology theory for etale…