The Witten complex for singular spaces of dimension two with cone‐like singularities

DOI10.1002/mana.200810167zbMath1215.58004OpenAlexW1982982593MaRDI QIDQ3169184

Ursula Ludwig

Publication date: 27 April 2011

Published in: Mathematische Nachrichten (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mana.200810167

zbMATH Keywords

compact Riemannian manifoldMorse functionWitten Laplacian

Mathematics Subject Classification ID

Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Differentiable manifolds, foundations (58A05)

Related Items (7)

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 ⋮ The geometric complex for algebraic curves with cone-like singularities and admissible Morse functions ⋮ AN ANALYTIC APPROACH TO THE STRATIFIED MORSE INEQUALITIES FOR COMPLEX CONES ⋮ The Witten deformation for even dimensional conformally conic manifolds ⋮ The Witten deformation for even dimensional spaces with cone-like singularities and admissible Morse functions

Cites Work

• Intersection homology theory
• Hilbert complexes
• Complex immersions and Quillen metrics
• On the \(L^ 2\) cohomology of complex spaces
• Milnor and Ray-Singer metrics on the equivariant determinant of a flat vector bundle
• Puits multiples en mecanique semi-classique iv etude du complexe de witten
• An Index Theorem for First Order Regular Singular Operators
• On the spectral geometry of spaces with cone-like singularities
• Hodge Theory of Singular Algebraic Curves
• Differential operators of Fuchs type, conical singularities, and asymptotic methods
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