-Kohomologie und approximationen des Laplaceoperators
Nel caso di una varietà di Banach complessa , si costruisce una regolarizzata della metrica infinitesimale di Kobayashi. Se ne deduce una distanza integrata di Kobayashi e, se è iperbolica, si mostra che questa distanza è uguale alla distanza di Kobayashi.
In this note we consider the length minimizing properties of Hamiltonian paths generated by quasi-autonomous Hamiltonians on symplectically aspherical manifolds. Motivated by the work of Polterovich and Schwarz, we study the role, in the Floer complex of the generating Hamiltonian, of the global extrema which remain fixed as the time varies. Our main result determines a natural condition which implies that the corresponding path minimizes the positive Hofer length. We use this to prove that a quasi-autonomous Hamiltonian...
Dans cet article, nous définissons une catégorie des motifs sur une catégorie monoïdale symétrique vérifiant certaines hypothèses. Le rôle des espaces sur est joué par les monoïdes (non necessairement commutatifs) dans . Pour définir les morphismes dans , nous utilisons des classes dans les groupes d’homologie cyclique bivariante. Le but est de montrer que les opérateurs de périodicité de Connes induisent des morphismes dans , où est le motif de Tate dans .
A homology theory of Banach manifolds of a special form, called FSQL-manifolds, is developed, and also a homological degree of FSQL-mappings between FSQL-manifolds is introduced.
We call a unital locally convex algebra a continuous inverse algebra if its unit group is open and inversion is a continuous map. For any smooth action of a, possibly infinite-dimensional, connected Lie group on a continuous inverse algebra by automorphisms and any finitely generated projective right -module , we construct a Lie group extension of by the group of automorphisms of the -module . This Lie group extension is a “non-commutative” version of the group of automorphism...
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...