The Witten deformation for even dimensional spaces with cone-like singularities and admissible Morse functions

DOI10.1016/j.crma.2010.07.020zbMath1203.53074OpenAlexW2091923406MaRDI QIDQ990251

Ursula Ludwig

Publication date: 6 September 2010

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

Full work available at URL: https://doi.org/10.1016/j.crma.2010.07.020

zbMATH Keywords

Morse inequalitiesde Rham complexWitten LaplacianWitten deformationcone-like singularities

Mathematics Subject Classification ID

Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Applications of global differential geometry to the sciences (53C80) de Rham theory in global analysis (58A12) Critical points of functions and mappings on manifolds (58K05) Stratifications in topological manifolds (57N80)

Related Items (2)

Comparison between two complexes on a singular space ⋮ The Witten deformation for even dimensional conformally conic manifolds

Cites Work

• Supersymmetry and Morse theory
• Hilbert complexes
• Complex immersions and Quillen metrics
• Semi-classical analysis for the Schrödinger operator and applications
• Kähler-Hodge theory for conformal complex cones
• Witten deformation and polynomial differential forms
• The Witten complex for singular spaces of dimension two with cone‐like singularities
• Puits multiples en mecanique semi-classique iv etude du complexe de witten
• Kirwan-Novikov inequalities on a manifold with boundary
• Unnamed Item
• Unnamed Item

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