\(L^p\)-cohomology, heat semigroup and stratified spaces

DOI10.1007/s12220-023-01399-3arXiv2012.07684OpenAlexW4387503839MaRDI QIDQ6084648

Francesco Bei

Publication date: 6 November 2023

Published in: The Journal of Geometric Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2012.07684

zbMATH Keywords

heat semigroupKato classstratified pseudomanifolds\(L^p\)-cohomology

Mathematics Subject Classification ID

Differential forms in global analysis (58A10) Heat and other parabolic equation methods for PDEs on manifolds (58J35) Stratified sets (58A35) Intersection homology and cohomology in algebraic topology (55N33)

Cites Work

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• \(L^{\infty}\) cohomology is intersection cohomology
• Poincaré duality, Hilbert complexes and geometric applications
• The Yamabe problem on stratified spaces
• The local Yamabe constant of Einstein stratified spaces
• Sobolev spaces and Bochner Laplacian on complex projective varieties and stratified pseudomanifolds
• \(q\)-parabolicity of stratified pseudomanifolds and other singular spaces
• \(L^ 2\)-cohomology of normal algebraic surfaces. I
• A short proof of the Hölder-Poincaré duality for \(L_p\)-cohomology
• The Hölder-Poincaré duality for \(L _{q,p }\)-cohomology
• Intersection homology. II
• Stratified mappings - structure and triangulability
• \(L^ 2\)-cohomology and intersection homology of stratified spaces
• Intersection cohomology. (Notes of a Seminar on Intersection Homology at the University of Bern, Switzerland, Spring 1983)
• Cheeger-Goreski-MacPherson's conjecture for the varieties with isolated singularities
• Theorème de De Rham pour les variétés stratifiées. (The De Rham theorem for stratified manifolds)
• Intersection homology theory
• Hilbert complexes
• \(\mathcal L^ 2\)-cohomologie des espaces stratifiés. (\(\mathcal L^ 2\)- cohomology of stratified spaces)
• Kähler-Hodge theory for conformal complex cones
• \(L^ p\) cohomology of cones and horns
• Parabolicity of manifolds
• Covariant Schrödinger semigroups on Riemannian manifolds
• Perturbation theory for linear operators.
• Hodge theory on Cheeger spaces
• Ricci de Turck flow on singular manifolds
• Eta and rho invariants on manifolds with edges
• Symplectic manifolds, \(L^p\)-cohomology and \(q\)-parabolicity
• Vanishing and finiteness results in geometric analysis. A generalization of the Bochner technique
• Sobolev inequalities for differential forms and \(L_{q,p}\)-cohomology
• The fundamental equations of a submersion
• Totally geodesic maps
• The signature package on Witt spaces
• Simplicial Differential Forms with Poles
• On the Heat Kernel of the Bergmann Metric on Algebraic Varieties
• Notes on Topological Stability
• Analysis and Geometry of Markov Diffusion Operators
• The Dirac Operator on Spaces with Conical Singularities and Positive Scalar Curvatures
• Geometric Analysis