Two nontrivial index theorems in odd dimensions

1996/01/15 by Daniel S. Freed, Freed, Daniel S.
Mathematics · Physics and Astronomy · #Advanced Banach Space Theory #Advanced Operator Algebra Research #Advanced Topics in Algebra #Differential Geometry (math.DG) #FOS: Mathematics #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #dg-ga #hep-th #math.DG

paper · pdf · doi:10.48550/arxiv.dg-ga/9601005

12 pages, AMSTeX, date corrected

openalex publication_date 1996/01/15 · arxiv created 2001/01/26 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

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