Analytic \(K\)-theory on manifolds with corners
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Publication:1190161
DOI10.1016/0001-8708(92)90059-TzbMath0761.55002MaRDI QIDQ1190161
Paolo Piazza, Richard B. Melrose
Publication date: 27 September 1992
Published in: Advances in Mathematics (Search for Journal in Brave)
Related Items (41)
Multiple solutions for semi-linear corner degenerate elliptic equations with singular potential term ⋮ Groupoids and pseudodifferential calculus on manifolds with corners ⋮ On Fredholm boundary conditions on manifolds with corners. I: Global corner cycles obstructions ⋮ Analysis on singular spaces: Lie manifolds and operator algebras ⋮ Evolution of semilinear waves with swallowtail singularities ⋮ The index of \(b\)-pseudodifferential operators on manifolds with corners ⋮ On the existence with exponential decay and the blow-up of solutions for coupled systems of semi-linear corner-degenerate parabolic equations with singular potentials ⋮ Index in \(K\)-theory for families of fibred cusp operators ⋮ On the asymptotic expansion of certain plane singular integral operators ⋮ Fourier integral operators on Lie groupoids ⋮ Conormal homology of manifolds with corners ⋮ A generalization of the propagation of singularities theorem on asymptotically anti‐de Sitter spacetimes ⋮ The index formula for families of Dirac type operators on pseudomanifolds ⋮ Homology of algebras of families of pseudodifferential operators. ⋮ Multiple solutions for semi-linear corner degenerate elliptic equations ⋮ Noncommutative geometry and classification of elliptic operators ⋮ On the Poincaré isomorphism in \(K\)-theory on manifolds with edges ⋮ On the existence and structure of \(\psi^*\)-algebras of totally characteristic operators on compact manifolds with boundary ⋮ The expansion of the resolvent near a singular stratum of conical type ⋮ A topological index theorem for manifolds with corners ⋮ Lie groupoids, pseudodifferential calculus, and index theory ⋮ Relative \(K\) homology and \(C^*\) algebras ⋮ A mod \(k\) index theorem ⋮ On spectra of geometric operators on open manifolds and differentiable groupoids ⋮ TEMPERED OPERATORS AND THE HEAT KERNEL AND COMPLEX POWERS OF ELLIPTIC PSEUDODIFFERENTIAL OPERATORS ⋮ Diffraction at Corners for the Wave Equation on Differential Forms ⋮ The structure of the resolvent of elliptic pseudodifferential operators ⋮ Boundary problems for Dirac-type operators on manifolds with multi-cylindrical end boundaries ⋮ Geometric obstructions for Fredholm boundary conditions for manifolds with corners ⋮ DIFFRACTION BY EDGES ⋮ Pseudodifferential operators on manifolds with fibred corners ⋮ Operators with Corner-Degenerate Symbols ⋮ Groupoids and an index theorem for conical pseudo-manifolds ⋮ Fredholm Conditions on Non-compact Manifolds: Theory and Examples ⋮ Multiple solutions for semilinear totally characteristic elliptic equations with subcritical or critical cone Sobolev exponents ⋮ Bordism invariance of the coarse index ⋮ Multiple positive solutions for degenerate elliptic equations with singularity and critical cone Sobolev exponents ⋮ Elliptic operators on manifolds with singularities and \(K\)-homology ⋮ A groupoid approach to pseudodifferential calculi ⋮ Existence Theorems for a Class of Edge-Degenerate Elliptic Equations on Singular Manifolds ⋮ An Operator Theoretical Approach to Enveloping ϕ* - and C* - Algebras of Melrose Algebras of Totally Characteristic Pseudodifferential Operators
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