The L²-invariants and Morse numbers

Vladimir V. Sharko

Banach Center Publications (2009)

  • Volume: 85, Issue: 1, page 281-295
  • ISSN: 0137-6934

Abstract

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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.

How to cite

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Vladimir V. Sharko. "The L²-invariants and Morse numbers." Banach Center Publications 85.1 (2009): 281-295. <http://eudml.org/doc/281792>.

@article{VladimirV2009,
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.},
author = {Vladimir V. Sharko},
journal = {Banach Center Publications},
keywords = {stable rank; chain complex; manifold; Morse function; Morse numbers; -invariants},
language = {eng},
number = {1},
pages = {281-295},
title = {The L²-invariants and Morse numbers},
url = {http://eudml.org/doc/281792},
volume = {85},
year = {2009},
}

TY - JOUR
AU - Vladimir V. Sharko
TI - The L²-invariants and Morse numbers
JO - Banach Center Publications
PY - 2009
VL - 85
IS - 1
SP - 281
EP - 295
AB - 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.
LA - eng
KW - stable rank; chain complex; manifold; Morse function; Morse numbers; -invariants
UR - http://eudml.org/doc/281792
ER -

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