Elliptic boundary problems on spaces with conic points
Elliptic cohomologies: an introductory survey.
Let α and β be any angles then the known formula sin (α+β) = sinα cosβ + cosα sinβ becomes under the substitution x = sinα, y = sinβ, sin (α + β) = x √(1 - y2) + y √(1 - x2) =: F(x,y). This addition formula is an example of "Formal group law", which show up in many contexts in Modern Mathematics.In algebraic topology suitable cohomology theories induce a Formal group Law, the elliptic cohomologies are the ones who realize the Euler addition formula (1778): F(x,y) =: (x √R(y) + y √R(x)/1 - εx2y2)....
Elliptic complexes in the calculus of variations [Book]
Elliptic differential operators on noncompact manifolds
Elliptic diffusions on infinite products.
Elliptic genera and the moonshine module.
Elliptic genera, modular forms over KO*, and the Brown-Kervaire invariant.
Elliptic K3 surfaces as dynamical models and their Hamiltonian monodromy
This note deals with Lagrangian fibrations of elliptic K3 surfaces and the associated Hamiltonian monodromy. The fibration is constructed through the Weierstraß normal form of elliptic surfaces. There is given an example of K3 dynamical models with the identity monodromy matrix around 12 elementary singular loci.
Elliptic operators and covers of Riemannian manifolds.
Elliptic operators and higher signatures
Building on the theory of elliptic operators, we give a unified treatment of the following topics: - the problem of homotopy invariance of Novikov’s higher signatures on closed manifolds, - the problem of cut-and-paste invariance of Novikov’s higher signatures on closed manifolds, - the problem of defining higher signatures on manifolds with boundary and proving their homotopy invariance.
Elliptic problems with integral diffusion
In this paper, we review several recent results dealing with elliptic equations with non local diffusion. More precisely, we investigate several problems involving the fractional laplacian. Finally, we present a conformally covariant operator and the associated singular and regular Yamabe problem.
Elliptic resonance problems with unequal limits at infinity.
Elliptic Systems of Pseudodifferential Equations in the Refined Scale on a Closed Manifold
We study a system of pseudodifferential equations which is elliptic in the Petrovskii sense on a closed smooth manifold. We prove that the operator generated by the system is a Fredholm operator in a refined two-sided scale of Hilbert function spaces. Elements of this scale are special isotropic spaces of Hörmander-Volevich-Paneah.
Ellipticity of the symplectic twistor complex
For a Fedosov manifold (symplectic manifold equipped with a symplectic torsion-free affine connection) admitting a metaplectic structure, we shall investigate two sequences of first order differential operators acting on sections of certain infinite rank vector bundles defined over this manifold. The differential operators are symplectic analogues of the twistor operators known from Riemannian or Lorentzian spin geometry. It is known that the mentioned sequences form complexes if the symplectic...
Embeddability of abstract CR structures and integrability of related systems
Necessary and sufficient conditions for local embeddability of abstract structures are expressed in terms of the commutation of the vector fields with a complex Lie algebra. These results extend to more general systems.
Embedding manifolds with boundary in smooth toposes
Embedding of Hilbert manifolds with smooth boundary into semispaces of Hilbert spaces
In this paper we prove the existence of a closed neat embedding of a Hausdorff paracompact Hilbert manifold with smooth boundary into , where is a Hilbert space, such that the normal space in each point of a certain neighbourhood of the boundary is contained in . Then, we give a neccesary and sufficient condition that a Hausdorff paracompact topological space could admit a differentiable structure of class with smooth boundary.
Embedding Riemannian Manifolds by Their Heat Kernel.
Embeddings, isotopy and stability of Banach manifolds
En marge de l'exposé de Meyer : « Géométrie différentielle stochastique »