The stability of the Euler characteristic for Hilbert complexes

DOI10.1007/BF01421951zbMath0415.47008OpenAlexW2003757690MaRDI QIDQ600070

Florian-Horia Vasilescu

Publication date: 1980

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

Full work available at URL: https://eudml.org/doc/163371

zbMATH Keywords

Euler characteristicFredholm complexsmall or compact perturbations

Mathematics Subject Classification ID

Methods of algebraic topology in functional analysis (cohomology, sheaf and bundle theory, etc.) (46M20) (Semi-) Fredholm operators; index theories (47A53) Equations and inequalities involving linear operators, with vector unknowns (47A50)

Related Items (5)

The Euler characteristic is stable under compact perturbations ⋮ Irregularity and the period determinant for irregular singular connections on surfaces ⋮ The spectral picture of \((L_ A,R_ B)\) ⋮ Essential spectra of tensor product Hilbert complexes and the \(\overline{\partial}\)-Neumann problem on product manifolds ⋮ The Dirac operator of a commuting \(d\)-tuple.

Cites Work

• On Levi's problem and the imbedding of real-analytic manifolds
• On the extension of holomorphic functions from the boundary of a complex manifold
• The Neumann Problem for the Cauchy-Riemann Complex. (AM-75)
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