Kessel, Rivière: Singular Bundles with Bounded $L^2$-Curvatures

Kessel, Thiemo and Rivière, Tristan:
Singular Bundles with Bounded $L^2$-Curvatures
Bollettino dell'Unione Matematica Italiana Serie 9 1 (2008), fasc. n.3, p. 881-901, (English)
pdf (510 Kb), djvu (212 Kb). | MR 2455351 | Zbl 1197.58005

Sunto

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.

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Referenze Bibliografiche