nLab
Mishchenko-Fomenko index theorem

Contents

Context

Index theory

Functional analysis

Operator algebra

algebraic quantum field theory (perturbative, on curved spacetimes, homotopical)

Introduction

Concepts

field theory:

Lagrangian field theory

quantization

quantum mechanical system, quantum probability

free field quantization

gauge theories

interacting field quantization

renormalization

Theorems

States and observables

Operator algebra

Local QFT

Perturbative QFT

Contents

Idea

The Mishchenko-Fomenko index theorem is a generalization of the Atiyah-Singer index theorem to differential operators on Hilbert module-bundles over some C*-algebra.

References

The original English version of the original work is

  • A.S. Mishchenko, A.T. Fomenko, The index of elliptic operators over C-algebras., Math. USSR, Izv. 15 (1980), 87–112.

A more explicit rederivation is in section 6.1 of

Last revised on May 20, 2013 at 12:46:49. See the history of this page for a list of all contributions to it.