INSTITUTE OF MATHEMATICS · POLISH ACADEMY OF SCIENCES BANACH CENTER PUBLICATIONS ISSN: 0137-6934(p) 1730-6299(e)

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The $L^2$-invariants and Morse numbers

Vladimir V. Sharko¹
Banach Center Publ. 85 (2009), 281-295
doi:10.4064/bc85-0-19
Abstract: We study the homotopy invariants of free cochain complexes and Hilbert complexes. These invariants are applied to calculation of exact values of Morse numbers of smooth manifolds.

MSC (2010): Primary 05C10; Secondary 57R45
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1. Institute of Mathematics
   National Academy of Sciences of Ukraine
   Tereshchenkivska 3
   01601 Kyiv, Ukraine
   

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