A geometric Morse-Novikov complex with infinite series coefficients

DOI10.1016/j.crma.2018.09.008zbMath1423.57047arXiv1811.11428OpenAlexW2897473568WikidataQ129055261 ScholiaQ129055261MaRDI QIDQ1632828

Carlos Moraga Ferrándiz, François Laudenbach

Publication date: 17 December 2018

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1811.11428

zbMATH Keywords

homoclinic bifurcationMorse 1-formMorse-Novikov complexmultivalued Morse functions

Mathematics Subject Classification ID

Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Critical points and critical submanifolds in differential topology (57R70) Algebraic topology on manifolds and differential topology (57R19)

Related Items (2)

On the conical Novikov homology ⋮ Incidence coefficients in the Novikov Complex for Morse forms: rationality and exponential growth properties

Cites Work

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• On singularities of mappings of Euclidean spaces. I. Mappings of the plane into the plane
• Les singularités des applications différentiables
• Sur l'unique ergodicité des 1-formes fermées singulières. (Unique ergodicity of closed singular 1-forms)
• Rationality and exponential growth properties of the boundary operators in the Novikov complex
• Morse Novikov theory and cohomology with forward supports
• La stratification naturelle des espaces de fonctions différentiables réelles et le théorème de la pseudo-isotopie
• The Hamiltonian formalism and a many-valued analogue of Morse theory

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