Mass endomorphism, surgery and perturbations

Bernd Ammann[1]; Mattias Dahl[2]; Andreas Hermann[3]; Emmanuel Humbert[3]

  • [1] Fakultät für Mathematik Universität Regensburg 93040 Regensburg Germany
  • [2] Institutionen för Matematik Kungliga Tekniska Högskolan 100 44 Stockholm Sweden
  • [3] Laboratoire de Mathématiques et Physique Théorique, Université de Tours, Parc de Grandmont, 37200 Tours, France

Annales de l’institut Fourier (2014)

  • Volume: 64, Issue: 2, page 467-487
  • ISSN: 0373-0956

Abstract

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We prove that the mass endomorphism associated to the Dirac operator on a Riemannian manifold is non-zero for generic Riemannian metrics. The proof involves a study of the mass endomorphism under surgery, its behavior near metrics with harmonic spinors, and analytic perturbation arguments.

How to cite

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Ammann, Bernd, et al. "Mass endomorphism, surgery and perturbations." Annales de l’institut Fourier 64.2 (2014): 467-487. <http://eudml.org/doc/275531>.

@article{Ammann2014,
abstract = {We prove that the mass endomorphism associated to the Dirac operator on a Riemannian manifold is non-zero for generic Riemannian metrics. The proof involves a study of the mass endomorphism under surgery, its behavior near metrics with harmonic spinors, and analytic perturbation arguments.},
affiliation = {Fakultät für Mathematik Universität Regensburg 93040 Regensburg Germany; Institutionen för Matematik Kungliga Tekniska Högskolan 100 44 Stockholm Sweden; Laboratoire de Mathématiques et Physique Théorique, Université de Tours, Parc de Grandmont, 37200 Tours, France; Laboratoire de Mathématiques et Physique Théorique, Université de Tours, Parc de Grandmont, 37200 Tours, France},
author = {Ammann, Bernd, Dahl, Mattias, Hermann, Andreas, Humbert, Emmanuel},
journal = {Annales de l’institut Fourier},
keywords = {Dirac operator; mass endomorphism; surgery; compact Riemannian spin manifolds; Dirac operators; mass endomorphisms},
language = {eng},
number = {2},
pages = {467-487},
publisher = {Association des Annales de l’institut Fourier},
title = {Mass endomorphism, surgery and perturbations},
url = {http://eudml.org/doc/275531},
volume = {64},
year = {2014},
}

TY - JOUR
AU - Ammann, Bernd
AU - Dahl, Mattias
AU - Hermann, Andreas
AU - Humbert, Emmanuel
TI - Mass endomorphism, surgery and perturbations
JO - Annales de l’institut Fourier
PY - 2014
PB - Association des Annales de l’institut Fourier
VL - 64
IS - 2
SP - 467
EP - 487
AB - We prove that the mass endomorphism associated to the Dirac operator on a Riemannian manifold is non-zero for generic Riemannian metrics. The proof involves a study of the mass endomorphism under surgery, its behavior near metrics with harmonic spinors, and analytic perturbation arguments.
LA - eng
KW - Dirac operator; mass endomorphism; surgery; compact Riemannian spin manifolds; Dirac operators; mass endomorphisms
UR - http://eudml.org/doc/275531
ER -

References

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