Spectral and Hodge theory of ``Witt incomplete cusp edge spaces

DOI10.4171/CMH/472zbMath1440.58013arXiv1509.06359MaRDI QIDQ2301917

Jesse Gell-Redman, Jan Swoboda

Publication date: 25 February 2020

Published in: Commentarii Mathematici Helvetici (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1509.06359

zbMATH Keywords

heat equationspectral theoryintersection cohomologyWeyl asymptoticsstratified spaceWeil-Petersson metric\(L^2\)-cohomologyHodge theoryHodge-Laplace operatorsingular spacesRiemann moduli space

Mathematics Subject Classification ID

Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Asymptotic distributions of eigenvalues in context of PDEs (35P20) Spectrum, resolvent (47A10) Moduli of Riemann surfaces, Teichmüller theory (complex-analytic aspects in several variables) (32G15) Index theory and related fixed-point theorems on manifolds (58J20) Heat and other parabolic equation methods for PDEs on manifolds (58J35) Perturbations of PDEs on manifolds; asymptotics (58J37) Stratified sets (58A35) Heat kernel (35K08) PDEs on manifolds (35R01) Intersection homology and cohomology in algebraic topology (55N33)

Related Items (4)

The index formula for families of Dirac type operators on pseudomanifolds ⋮ Ricci de Turck flow on singular manifolds ⋮ Perelman’s entropies for manifolds with conical singularities ⋮ Boundary Behaviour of Weil–Petersson and Fibre Metrics for Riemann Moduli Spaces

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