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Article Dans Une Revue Comptes Rendus. Mathématique Année : 2018

A geometric Morse-Novikov complex with infinite series coefficients

Résumé

Let M be a closed n-dimensional manifold, n > 2, whose first real cohomology group H 1 (M ; R) is non-zero. We present a general method for constructing a Morse 1-form α on M , closed but non-exact, and a pseudo-gradient X such that the differential ∂ X of the Novikov complex of the pair (α, X) has at least one incidence coefficient which is an infinite series. This is an application of our previous study of the homoclinic bifurcation of pseudo-gradients of multivalued Morse functions.
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Dates et versions

hal-01936532 , version 1 (27-11-2018)

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François Laudenbach, Carlos Moraga Ferrandiz. A geometric Morse-Novikov complex with infinite series coefficients. Comptes Rendus. Mathématique, 2018, ⟨10.1016/j.crma.2018.09.008⟩. ⟨hal-01936532⟩
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