A+ CATEGORY SCIENTIFIC UNIT

The $L^2$-invariants and Morse numbers

Volume 85 / 2009

Vladimir V. Sharko Banach Center Publications 85 (2009), 281-295 MSC: Primary 05C10; Secondary 57R45 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.

Authors

  • Vladimir V. SharkoInstitute of Mathematics
    National Academy of Sciences of Ukraine
    Tereshchenkivska 3
    01601 Kyiv, Ukraine
    e-mail

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