AN ANALYTIC APPROACH TO THE STRATIFIED MORSE INEQUALITIES FOR COMPLEX CONES

DOI10.1142/S0129167X13501000zbMath1317.32063arXiv1107.1636OpenAlexW2964237118MaRDI QIDQ5401591

Ursula Ludwig

Publication date: 10 March 2014

Published in: International Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1107.1636

zbMATH Keywords

Witten deformationcomplex conesstratified Morse inequalities

Mathematics Subject Classification ID

Differential complexes (58J10) Stratifications; constructible sheaves; intersection cohomology (complex-analytic aspects) (32S60) Critical points and critical submanifolds in differential topology (57R70) Index theory for dynamical systems, Morse-Conley indices (37B30)

Cites Work

• A proof of the stratified Morse inequalities for singular complex algebraic curves using the Witten deformation
• Intersection homology theory
• Hilbert complexes
• Kähler-Hodge theory for conformal complex cones
• 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
• The Witten deformation for even dimensional conformally conic manifolds

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