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Bounds for the cup-length of Poincare spaces and their applications

Julius Korbas
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Abstract

Our main result offers a new (quite systematic) way of deriving bounds for the cup-length of Poincare spaces over fields; we outline a general research program based on this result. For the oriented Grassmann manifolds, already a limited realization of the program leads, in many cases, to the exact values of the cup-length and to interesting information on the Lyusternik-Shnirel'man category.

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Julius Korbas. 2005-11-22. Bounds for the cup-length of Poincare spaces and their applications. https://arxiv.org/abs/math/0511546

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