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Invariant Forms on Grassmann Manifolds. (AM-89), Volume 89 (Paperback)
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Invariant Forms on Grassmann Manifolds. (AM-89), Volume 89 (Paperback)
Series: Annals of Mathematics Studies
Expected to ship within 12 - 17 working days
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This work offers a contribution in the geometric form of the theory
of several complex variables. Since complex Grassmann manifolds
serve as classifying spaces of complex vector bundles, the
cohomology structure of a complex Grassmann manifold is of
importance for the construction of Chern classes of complex vector
bundles. The cohomology ring of a Grassmannian is therefore of
interest in topology, differential geometry, algebraic geometry,
and complex analysis. Wilhelm Stoll treats certain aspects of the
complex analysis point of view. This work originated with questions
in value distribution theory. Here analytic sets and differential
forms rather than the corresponding homology and cohomology classes
are considered. On the Grassmann manifold, the cohomology ring is
isomorphic to the ring of differential forms invariant under the
unitary group, and each cohomology class is determined by a family
of analytic sets.
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