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Symplectic complex bundles over real algebraic four-folds

Part of: Differential topology $K$-theory of forms

Published online by Cambridge University Press:  09 April 2009

Wojciech Kucharz
Wojciech Kucharz
Affiliation:
Department of Mathematics and Statistics, University of New MexicoAlbuquerque, New Mexico 87131, U.S.A.
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Abstract

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Let X be a compact affine real algebraic variety of dimension 4. We compute the Witt group of symplectic bilinear forms over the ring of regular functions from X to C. The Witt group is expressed in terms of some subgroups of the cohomology groups .

MSC classification

Secondary: 57R22: Topology of vector bundles and fiber bundles 19G12: Witt groups of rings
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 47 , Issue 3 , December 1989 , pp. 430 - 437
Copyright
Copyright © Australian Mathematical Society 1989

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