A new cohomology for the Morse theory of strongly indefinite functionals on Hilbert spaces

Alberto Abbondandolo

DOI: http://dx.doi.org/10.12775/TMNA.1997.017

Abstract


A generalized cohomology, similar to Szulkin's cohomology but with more
general functorial properties, is constructed. This theory is used to
define a relative Morse index and to prove relative Morse relations for
strongly indefinite functionals on Hilbert spaces.

Keywords


generalized cohomology; Morse index; Morse relations; strongly indefinite functionals

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