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4th Conference Geometry and Topology of Manifolds
April 28 - May 4, 2002
Technical University of Lodz; University Mining and Metallurgy, Cracow; Jagiellonian University, Cracow
Krynica, Poland

Organizers
Jan Kubarski (chairman), Lodz, Poland; Tomasz Rybicki, Cracow, Poland; Robert Wolak, Cracow, Poland

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On fibrations with Grassmann manifolds as fibers
by
Július Korbaš
Department of Algebra, Faculty of Mathematics, Physics, and Informatics, Comenius University, SK-842 48 Bratislava 4, SLOVAKIA

The aim of this talk is to present some results on Z/2Z-cohomology properties of smooth fiber bundles and of Serre fibrations having complex or real Grassmann manifolds as their fibers.

We mainly concentrate on describing situations when the fiber inclusion (into the total space) induces an epimorphism in Z/2Z-cohomology. This is related to other topological questions.

The talk will be based on the paper On fibrations with Grassmannian fibers, Bull. Belgian Math. Soc. 8 (2001), 119-130; more recent results will also be included.

Date received: April 4, 2002

Copyright © 2002 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # cajc-06.