English

Two nontrivial index theorems in odd dimensions

dg-ga 2008-02-03 v5 High Energy Physics - Theory Differential Geometry

Abstract

A recent anomaly computation of Horava and Witten is proved and generalized in the form of two index theorems in odd dimensions. Theorem A is a fixed point formula for orientation-reversing involutions. Theorem B is an index theorem for manifolds with boundary using local boundary conditions. Both hold for families of operators.

Keywords

Cite

@article{arxiv.dg-ga/9601005,
  title  = {Two nontrivial index theorems in odd dimensions},
  author = {Daniel S. Freed},
  journal= {arXiv preprint arXiv:dg-ga/9601005},
  year   = {2008}
}

Comments

12 pages, AMSTeX, date corrected

R2 v1 2026-07-22T12:29:44.326Z