Local homology of groups of volume preserving diffeomorphisms. I
Local homology of groups of volume-preserving diffeomorphisms, II.
Local homology of groups of volume-preserving diffeomorphisms. III
Local index theory and higher analytic torsion.
Local invariants of spectral asymmetry.
Local Mappings on spaces of differentiable functions.
Local Normal Forms of Functions.
Local properties of maps of the ball.
Local property of Dirichlet forms and diffusions on general state spaces.
Local reduction theorems and invariants for singular contact structures
A differential 1-form on a -dimensional manifolds defines a singular contact structure if the set of points where the contact condition is not satisfied, , is nowhere dense in . Then is a hypersurface with singularities and the restriction of to can be defined. Our first theorem states that in the holomorphic, real-analytic, and smooth categories the germ of Pfaffian equation generated by is determined, up to a diffeomorphism, by its restriction to , if we eliminate certain degenerated singularities...
Local solvability of a constrained gradient system of total variation.
Local structural stability of integrable 1-forms
In this work we consider a class of germs of singularities of integrable 1-forms in which are structurally stable in class ( if , if ), whose 1-jet is zero at the singularity. In this class the stability depends essentially on the fact that the perturbations allowed are integrable.
Local structure of the zero-sets of differentiable mappings and application to bifurcation theory.
Local symplectic algebra of quasi-homogeneous curves
We study the local symplectic algebra of parameterized curves introduced by V. I. Arnold. We use the method of algebraic restrictions to classify symplectic singularities of quasi-homogeneous curves. We prove that the space of algebraic restrictions of closed 2-forms to the germ of a 𝕂-analytic curve is a finite-dimensional vector space. We also show that the action of local diffeomorphisms preserving the quasi-homogeneous curve on this vector space is determined by the infinitesimal action of...
Local Topological Properties of Differentiable Mappings. I.
Localisation et front d'onde analytique
Localization and wave fronts
Localization of differential operators and of higher order de Rham complexes
Localizations for construction of quantum coset spaces
Viewing comodule algebras as the noncommutative analogues of affine varieties with affine group actions, we propose rudiments of a localization approach to nonaffine Hopf algebraic quotients of noncommutative affine varieties corresponding to comodule algebras. After reviewing basic background on noncommutative localizations, we introduce localizations compatible with coactions. Coinvariants of these localized coactions give local information about quotients. We define Zariski locally trivial quantum...
Locally finitely generated differential spaces of class