L2 -invariants and Morse - Smale flows on manifolds

Sharko V. V.

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Ukr. Mat. Zh.
Volume 59, № 4, 2007
pp. 522-533

L₂-invariants and Morse - Smale flows on manifolds

Sharko V. V.

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Abstract

We study the homotopy invariants of free cochain and Hilbert complexes. These L₂ -invariants are applied to the calculations of exact values of minimal numbers of closed orbits of some indexes of nonsingular Morse - Smale flows on manifolds of large dimensions.

English version (Springer): Ukrainian Mathematical Journal 59 (2007), no. 4, pp 588-601.

Citation Example: Sharko V. V. L₂-invariants and Morse - Smale flows on manifolds // Ukr. Mat. Zh. - 2007. - 59, № 4. - pp. 522-533.

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