English

Twisted cohomology

Algebraic Topology 2024-01-09 v1 High Energy Physics - Theory Mathematical Physics K-Theory and Homology math.MP

Abstract

We discuss twisted cohomology, not just for ordinary cohomology but also for KK-theory and other exceptional cohomology theories, and discuss several of the applications of these in mathematical physics. Our list of applications is by no means exhaustive, but we are hoping that it is extensive enough to give the reader a feel for the possible applications of twisted theories in many different contexts. We also give many suggestions for further reading, but this subject has now expanded to the point where the bibliography is necessarily very incomplete.

Keywords

Cite

@article{arxiv.2401.03966,
  title  = {Twisted cohomology},
  author = {Jonathan Rosenberg},
  journal= {arXiv preprint arXiv:2401.03966},
  year   = {2024}
}

Comments

15 pages, draft of an article for the Encyclopedia of Mathematical Physics, 2nd ed

R2 v1 2026-06-28T14:11:20.496Z