On the Novikov complex for rational Morse forms

DOI10.5802/afst.798zbMath0859.57031OpenAlexW2023535081MaRDI QIDQ1903547

Andrei V. Pajitnov

Publication date: 10 December 1995

Published in: Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AFST_1995_6_4_2_297_0

zbMATH Keywords

de Rham cohomologyNovikov complexMorse functionchain complexsimple homotopy typeMorse forms

Mathematics Subject Classification ID

Differential forms in global analysis (58A10) Foliations in differential topology; geometric theory (57R30) Chain complexes in algebraic topology (55U15) Other homology theories in algebraic topology (55N35)

Related Items (16)

Zeta functions for gradients of closed 1-forms ⋮ On the Novikov complex for rational Morse forms ⋮ On the Whitehead group of Novikov rings associated to irrational homomorphisms ⋮ Witt vectors with coefficients and characteristic polynomials over non-commutative rings ⋮ On the conical Novikov homology ⋮ Surgery on the Novikov complex ⋮ Whitehead groups of localizations and the endomorphism class group. ⋮ Polytope Novikov homology ⋮ Non-commutative Reidemeister torsion and Morse-Novikov theory ⋮ MORSE HOMOLOGY AND MANIFOLDS WITH BOUNDARY ⋮ Novikov homology, twisted Alexander polynomials, and Thurston cones ⋮ Controlled connectivity of closed \(1\)-forms ⋮ Circle-valued Morse theory and Reidemeister torsion ⋮ Dynamics of gradient flows in the half-transversal Morse theory ⋮ Incidence coefficients in the Novikov Complex for Morse forms: rationality and exponential growth properties ⋮ MORSE–NOVIKOV CRITICAL POINT THEORY, COHN LOCALIZATION AND DIRICHLET UNITS

Cites Work

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• Exactness of the Novikov inequalities
• On the Novikov complex for rational Morse forms
• Surgery on the Novikov complex
• Le théorème de Barden-Mazur-Stallings
• On an approximation theorem of Kupka and Smale
• La stratification naturelle des espaces de fonctions différentiables réelles et le théorème de la pseudo-isotopie
• ON THE SHARPNESS OF NOVIKOV TYPE INEQUALITIES FOR MANIFOLDS WITH FREE ABELIAN FUNDAMENTAL GROUP
• The Hamiltonian formalism and a many-valued analogue of Morse theory
• Whitehead torsion
• Elementary Differential Topology. (AM-54)

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