Toeplitz C*-algebras on super-Cartan domains.
Toeplitz operators associated with the Siegel domains
Toeplitz operators, Kähler manifolds, and line bundles.
Toeplitz operators on Bergman spaces and Hardy multipliers
We study Toeplitz operators with radial symbols in weighted Bergman spaces , 1 < p < ∞, on the disc. Using a decomposition of into finite-dimensional subspaces the operator can be considered as a coefficient multiplier. This leads to new results on boundedness of and also shows a connection with Hardy space multipliers. Using another method we also prove a necessary and sufficient condition for the boundedness of for a satisfying an assumption on the positivity of certain indefinite...
Toeplitz operators on -harmonic Hardy space with .
Toeplitz Operators on Symmetric Siegel Domains.
Toeplitz operators with BMO symbols and the Berezin transform.
Toeplitz-Berezin quantization and non-commutative differential geometry
In this survey article we describe how the recent work in quantization in multi-variable complex geometry (domains of holomorphy, symmetric domains, tube domains, etc.) leads to interesting results and problems in C*-algebras which can be viewed as examples of the "non-commutative geometry" in the sense of A. Connes. At the same time, one obtains new functional calculi (of pseudodifferential type) with possible applications to partial differential equations and group representations.
Topological Algebras with Finitely-Generated Bases.
Topological aspects of deformations of singularities.
Topological computation of local cohomology multiplicities.
We express the Lyubeznik numbers of the local ring of a complex isolated singularity in terms of Betti numbers of the associated real link.
Topological equisingularity for isolated complete intersection singularities
Topological equivalence of metrics in Teichmüller space.
Topological invariants of analytic sets associated with Noetherian families
Let be a compact semianalytic set and let be a collection of real analytic functions defined in some neighbourhood of . Let be the germ at of the set . Then there exist analytic functions defined in a neighbourhood of such that , for all .
Topological invariants of isolated complete intersection curve singularities
In this paper we present some formulae for topological invariants of projective complete intersection curves with isolated singularities in terms of the Milnor number, the Euler characteristic and the topological genus. We also present some conditions, involving the Milnor number and the degree of the curve, for the irreducibility of complete intersection curves.
Topological K-equivalence of analytic function-germs
We study the topological K-equivalence of function-germs (ℝn, 0) → (ℝ, 0). We present some special classes of piece-wise linear functions and prove that they are normal forms for equivalence classes with respect to topological K-equivalence for definable functions-germs. For the case n = 2 we present polynomial models for analytic function-germs.
Topological triviality of versal unfoldings of complete intersections
We obtain algebraic and geometric conditions for the topological triviality of versal unfoldings of weighted homogeneous complete intersections along subspaces corresponding to deformations of maximal weight. These results are applied: to infinite families of surface singularities in which begin with the exceptional unimodular singularities, to the intersection of pairs of generic quadrics, and to certain curve singularities.The algebraic conditions are related to the operation of adjoining powers,...
Topological Type in Families of Germs.
Topological types of symmetries of elliptic-hyperelliptic Riemann surfaces and an application to moduli spaces.
Sea X una superficie de Riemann de género g. Diremos que la superficie X es elíptica-hiperelíptica si admite una involución conforme h de modo que X/〈h〉 tenga género uno. La involución h se llama entonces involución elíptica-hiperelíptica. Si g > 5 entonces la involución h es única, ver [1]. Llamamos simetría a toda involución anticonforme de X. Sea Aut±(X) el grupo de automorfismos conformes y anticonformes de X y σ, τ dos simetrías de X con puntos fijos y tales que {σ, hσ} y {τ, hτ} no...
Topologie comparée d'une courbe polaire et de sa courbe descriminante.
Let f be an analytic function germ at 0 in C2. We compare the topological complexity of the discriminant curve of f to the one of its polar curve.