Search results for "Smooth structure"

showing 2 items of 2 documents

Smooth structures on algebraic surfaces with cyclic fundamental group

1988

Abelian varietyAlgebraIntersection theorymedicine.medical_specialtyFundamental groupFunction field of an algebraic varietyGeneral MathematicsAlgebraic surfacemedicineSmooth structureAlgebraic geometry and analytic geometryMathematicsInventiones Mathematicae
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On the Existence and Structure of Ψ*-Algebras of Totally Characteristic Operators on Compact Manifolds with Boundary

1999

As a contribution to the pseudodifferential analysis on manifolds with singularities we construct for each smooth, compact manifold X with boundary a Ψ*-algebra A(b)∞(X, bΩ1/2)⊆L(ϱbL2(X, bΩ1/2)) containing the algebra Ψ0b, cl(X, bΩ1/2) of totally characteristic pseudodifferential operators introduced by Melrose [25] in 1981 as a dense subalgebra; further, there is a homomorphism τ(b)A: A(b)∞(X, bΩ1/2)→Q(b)Ψ characterizing the Fredholm property of a∈A(b)∞(X, bΩ1/2) by means of the invertibility of τ(b)A(a)∈Q(b)Ψ, where Q(b)Ψ is an algebra of C∞-symbols reflecting the smooth structure of the manifold X. The Fredholm inverses of Fredholm operators in A(b)∞(X, bΩ1/2) are again in the algebra A(…

Pure mathematicsGlobal analysisMathematical analysisSpectrum (functional analysis)SubalgebraStructure (category theory)Boundary (topology)HomomorphismSmooth structureManifoldAnalysisMathematicsJournal of Functional Analysis
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