L2 -invariants and Morse - Smale flows on manifolds
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.