-Kohomologie und approximationen des Laplaceoperators
-cohomology of warped cylinders
We extend some results by Goldshtein, Kuzminov, and Shvedov about the -cohomology of warped cylinders to -cohomology for . As an application, we establish some sufficient conditions for the nontriviality of the -torsion of a surface of revolution.
L-когомологии искривленных цилиндров.
-когомология искривленных произведений липшицевых римановых многообразий
Lectures on Witten-Helffer-Sjöstrand theory.
Lemme de Moser feuilleté et clasifications des variétés de Poisson régulières.
Regular Poisson structures with fixed characteristic foliation F are described by means of foliated symplectic forms. Associated to each of these structures, there is a class in the second group of foliated cohomology H2(F). Using a foliated version of Moser's lemma, we study the isotopy classes of these structures in relation with their cohomology class. Explicit examples, with dim F = 2, are described.
Localization of differential operators and of higher order de Rham complexes
Locally variational invariant field equations and global currents: Chern-Simons theories
We introduce the concept of conserved current variationally associated with locally variational invariant field equations. The invariance of the variation of the corresponding local presentation is a sufficient condition for the current beeing variationally equivalent to a global one. The case of a Chern-Simons theory is worked out and a global current is variationally associated with a Chern-Simons local Lagrangian.