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Singular connections and Riemann theta functions

✍ Scribed by Li Weiping

Publisher
Elsevier Science
Year
1998
Tongue
English
Weight
822 KB
Volume
90
Category
Article
ISSN
0166-8641

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✦ Synopsis

We prove the Chem-Weil formula for SU(n + l)-singular connections over the complement of an embedded oriented surface in a smooth four-manifold. The number of representations of a positive integer n as a sum of nonvanishing squares is given in terms of the number of its representations as a sum of squares. Using this number-theoretic result, we study the irreducible SU(n + I)-representations of the fundamental group of the complement of an embedded oriented surface in smooth four-manifold.

πŸ“œ SIMILAR VOLUMES

Affine Osserman connections and their Ri
Affine Osserman connections and their Riemann extensions
✍ E. GarcΓ­a-RΓ­o; D.N. Kupeli; M.E. VΓ‘zquez-Abal; R. VΓ‘zquez-Lorenzo πŸ“‚ Article πŸ“… 1999 πŸ› Elsevier Science 🌐 English βš– 626 KB

Osserman property is studied for affine torsion-free connections with special attention to the 2dimensional case. As an application, examples of nonsymmetric and even not locally homogeneous Osserman pseudo-Riemannian metrics are constructed on the cotangent bundle of a manifold equipped with a tors