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Hodge decomposition of Alexander invariants

✍ Scribed by Anatoly Libgober

Book ID
105924302
Publisher
Springer
Year
2002
Tongue
English
Weight
159 KB
Volume
107
Category
Article
ISSN
0025-2611

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Let G be a semi-simple group, provided with an involutorial automorphism whose fixed-point group is K. A Borel group B of G has finitely many orbits in the variety G/K. This paper discusses some invariants attached to a B-orbit: a numerical invariant introduced by R.W. Richardson, and two subsets of

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## Communicated by D. Serre Abstract--We extend the nonlinear Hodge decomposition of Iwaniec et al. [1] to other vector fields. We give applications to Leray-Lions type equations with very weak assumptions on data similar to those developed in [1].