The Witten deformation for even dimensional conformally conic manifolds

DOI10.1090/S0002-9947-2012-05651-0zbMath1479.58011arXiv1011.5357MaRDI QIDQ4915117

Ursula Ludwig

Publication date: 16 April 2013

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1011.5357

zbMATH Keywords

Witten deformationconic singularitiesstratified Morse theory

Mathematics Subject Classification ID

Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Analyticity in context of PDEs (35A20) Differential complexes (58J10) Critical points and critical submanifolds in differential topology (57R70)

Related Items (4)

Witten's perturbation on strata with general adapted metrics ⋮ A proof of the stratified Morse inequalities for singular complex algebraic curves using the Witten deformation ⋮ Comparison between two complexes on a singular space ⋮ AN ANALYTIC APPROACH TO THE STRATIFIED MORSE INEQUALITIES FOR COMPLEX CONES

Cites Work

• A proof of the stratified Morse inequalities for singular complex algebraic curves using the Witten deformation
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• Hilbert complexes
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• Semi-classical analysis for the Schrödinger operator and applications
• Kähler-Hodge theory for conformal complex cones
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• Witten deformation and polynomial differential forms
• A cohomology complex for manifolds with boundary
• 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
• An Index Theorem for First Order Regular Singular Operators
• Kirwan-Novikov inequalities on a manifold with boundary
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