Singular Bundles with Bounded L 2 -Curvatures

Thiemo Kessel; Tristan Rivière

Bollettino dell'Unione Matematica Italiana (2008)

  • Volume: 1, Issue: 3, page 881-901
  • ISSN: 0392-4041

Abstract

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We consider calculus of variations of the Yang-Mills functional in dimensions larger than the critical dimension 4. We explain how this naturally leads to a class of - a priori not well-defined - singular bundles including possibly "almost everywhere singular bundles". In order to overcome this difficulty, we suggest a suitable new framework, namely the notion of singular bundles with bounded L 2 -curvatures.

How to cite

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Kessel, Thiemo, and Rivière, Tristan. "Singular Bundles with Bounded $L^2$-Curvatures." Bollettino dell'Unione Matematica Italiana 1.3 (2008): 881-901. <http://eudml.org/doc/290478>.

@article{Kessel2008,
abstract = {We consider calculus of variations of the Yang-Mills functional in dimensions larger than the critical dimension 4. We explain how this naturally leads to a class of - a priori not well-defined - singular bundles including possibly "almost everywhere singular bundles". In order to overcome this difficulty, we suggest a suitable new framework, namely the notion of singular bundles with bounded $L^2$-curvatures.},
author = {Kessel, Thiemo, Rivière, Tristan},
journal = {Bollettino dell'Unione Matematica Italiana},
language = {eng},
month = {10},
number = {3},
pages = {881-901},
publisher = {Unione Matematica Italiana},
title = {Singular Bundles with Bounded $L^2$-Curvatures},
url = {http://eudml.org/doc/290478},
volume = {1},
year = {2008},
}

TY - JOUR
AU - Kessel, Thiemo
AU - Rivière, Tristan
TI - Singular Bundles with Bounded $L^2$-Curvatures
JO - Bollettino dell'Unione Matematica Italiana
DA - 2008/10//
PB - Unione Matematica Italiana
VL - 1
IS - 3
SP - 881
EP - 901
AB - We consider calculus of variations of the Yang-Mills functional in dimensions larger than the critical dimension 4. We explain how this naturally leads to a class of - a priori not well-defined - singular bundles including possibly "almost everywhere singular bundles". In order to overcome this difficulty, we suggest a suitable new framework, namely the notion of singular bundles with bounded $L^2$-curvatures.
LA - eng
UR - http://eudml.org/doc/290478
ER -

References

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