Displaying similar documents to “Isotropic characteristic classes”

A Pieri-type formula for even orthogonal Grassmannians

Piotr Pragacz, Jan Ratajski (2003)

Fundamenta Mathematicae

Similarity:

We study the cohomology ring of the Grassmannian G of isotropic n-subspaces of a complex 2m-dimensional vector space, endowed with a nondegenerate orthogonal form (here 1 ≤ n < m). We state and prove a formula giving the Schubert class decomposition of the cohomology products in H*(G) of general Schubert classes by "special Schubert classes", i.e. the Chern classes of the dual of the tautological vector bundle of rank n on G. We discuss some related properties of reduced decompositions...

Families of jacobian manifolds and characteristic classes of surface bundles. I

Shigeyuki Morita (1989)

Annales de l'institut Fourier

Similarity:

In our previous work we have defined the notion of characteristic classes of , which are differentiable fibre bundles whose fibres are closed oriented surfaces. In this paper we derive new relations between these characteristic classes by considering a canonical embedding of a given surface bundle with cross section to its associated family of Jacobian manifolds. As a key technical step we determine the first cohomology group of the mapping class group of oriented surfaces with coefficients...

On the existence of 2-fields in 8-dimensional vector bundles over 8-complexes

Martin Čadek, Jiří Vanžura (1995)

Commentationes Mathematicae Universitatis Carolinae

Similarity:

Necessary and sufficient conditions for the existence of two linearly independent sections in an 8-dimensional spin vector bundle over a CW-complex of the same dimension are given in terms of characteristic classes and a certain secondary cohomology operation. In some cases this operation is computed.