Morse Theory, Stratifications and Sheaves

DOI10.1007/978-3-030-53061-7_5zbMath1478.57001OpenAlexW3094481448MaRDI QIDQ5014455

Mark Goresky

Publication date: 2 December 2021

Published in: Handbook of Geometry and Topology of Singularities I (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-030-53061-7_5

zbMATH Keywords

Morse theoryfixed point theoremsstratified spacesconstructible sheavesMorse-Bott functionscomplex Morse theorystratified Morse theoryperfect Morse functions

Mathematics Subject Classification ID

Critical points and critical submanifolds in differential topology (57R70) Research exposition (monographs, survey articles) pertaining to manifolds and cell complexes (57-02) Stratifications in topological manifolds (57N80) Sheaves in algebraic geometry (14F06)

Cites Work

• Singularities of differentiable maps, Volume 1. Classification of critical points, caustics and wave fronts. Transl. from the Russian by Ian Porteous, edited by V. I. Arnol'd
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• Intersection homology. II
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• \({\mathcal D}\)-modules et faisceaux pervers dont le support singulier est un croisement normal
• Elementary construction of perverse sheaves
• Kazhdan-Lusztig conjecture and holonomic systems
• Representations of Coxeter groups and Hecke algebras
• Weights of exponential sums, intersection cohomology, and Newton polyhedra
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• Stratification of real analytic mappings and images
• Limits of Hodge structures
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• REMARKS ON THE STATIONARY PHASE METHOD AND COXETER NUMBERS
• Triangulation of Stratified Objects
• Notes on Topological Stability
• Mixed Hodge Structures
• Ensembles et morphismes stratifiés
• Theoreme de finitude pour un morphisme propre ; Dimension cohomologique des schemas algebriques affines
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