Twisted K-theory and cohomology

By Michael Francis Atiyah, G. Segal. 2005

133 citations recorded by the source corpus.

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 products. We define the twisted Chern character. We also discuss power operations in the twisted theory, and the role of the Koschorke classes.

Subfields: Algebra and Number Theory, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/36ce3a82ff80292594904bef9536d5689f0e3b04

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Algebra and Number Theory

1. D. Freed
2. G. Moore
3. M. Hopkins
4. C. Teleman
5. G. Segal
6. Andrew Justin Blumberg
7. Charles Rezk
8. Mark Behrens

In Mathematical Physics

1. G. Moore
2. D. Freed
3. M. Hopkins
4. C. Teleman
5. G. Segal
6. Mark Behrens
7. Charles Rezk
8. M. Hill

Citations in the corpus

• Heisenberg groups and noncommutative fluxes (2006, background): “This Chern character was defined in [40][41][42], and is briefly recalled in appendix A.”
• D-branes and K-theory in 2D topological field theory (2006, methodology): “To conclude this section, let us return to explain the relation between the definition of twisted equivariant K-theory by A(X) ×b G-modules and the definition given in [52] .”
• Loop groups and twisted K‐theory I (2007, methodology): “The authors would like to thank Sir Michael Atiyah and Graeme Segal for making available early drafts of [3] and [ 2 ].”