A Metric on the Manifold of Immersions and Its Riemannian Curvature.
A unitarization process for some-locally compact topological groups.
An expression of classical dynamics
Comment choisir une connexion au hasard ?
Heat kernel measure on central extension of current groups in any dimension.
Le spectre marqué des longueurs des surfaces à courbure négative
Lévy-Gromov's isometric inequality for an infinite dimensional diffusion generator.
Non-Archimedean integrals and stringy Euler numbers of log-terminal pairs
Using non-Archimedian integration over spaces of arcs of algebraic varieties, we define stringy Euler numbers associated with arbitrary Kawamata log-terminal pairs. There is a natural Kawamata log-terminal pair corresponding to an algebraic variety having a regular action of a finite group . In this situation we show that the stringy Euler number of this pair coincides with the physicists’ orbifold Euler number defined by the Dixon-Harvey-Vafa-Witten formula. As an application, we prove a conjecture...
Stochastic processes on totally disconnected topological groups.
The abstract Riemannian path space.
Wiener functionals on spaces of Lie algebra valued 1-currents, and unitary representations of currents groups.