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International Conference of Steklov Institute Members, working outside Russia
June 6, 2009 11:30, Moscow
 


On Gromov's marcroscopic dimension conjecture

A. N. Dranishnikov
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A. N. Dranishnikov


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Abstract: We prove the Gromov conjecture on the macroscopic dimension of the universal covering of a closed spin $n$-manifold with a positive scalar curvature under the assumption that the fundamental group of a manifold $\pi$ satisfies the Strong Novikov conjecture and the homomorphis from the connective real K-theory of $B\pi$ to the periodic K-theory is injective in dimension $n$.

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