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.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-bc85-0-19, author = {Vladimir V. Sharko}, title = {The L$^2$-invariants and Morse numbers}, journal = {Banach Center Publications}, volume = {86}, year = {2009}, pages = {281-295}, zbl = {1170.05305}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-bc85-0-19} }
Vladimir V. Sharko. The L²-invariants and Morse numbers. Banach Center Publications, Tome 86 (2009) pp. 281-295. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-bc85-0-19/