Vacuum energy as spectral geometry.
Vacuum Structure of 2+1-Dimensional Gauge Theories
We analyse some non-perturbative properties of the Yang-Mills vacuum in two-dimensional spaces in the presence of Chern-Simons interactions. We show that the vacuum functional vanishes for some gauge field configurations. We have identified some of those nodal configurations which are characterized by the property of carrying a non-trivial magnetic charge. In abelian gauge theories this fact explains why magnetic monopoles are suppressed by Chern-Simons interactions. In non-abelian theories it suggests...
Vadim Knizhnik [obituary]
Valeurs critiques asymptotiques d'une fonction définissable dans une structure o-minimale
We prove that the set of asymptotic critical values of a function definable in an o-minimal structure is finite, even if the structure is not polynomially bounded. As a consequence, the function is a locally trivial fibration over the complement of this set.
Valeurs propres immergées dans le spectre continu d'une surface de Riemann
Value problems for differential forms on -domains.
Vanishing cohomology of singularities of mappings
Vanishing cycles of D-modules.
Vanishing geodesic distance on spaces of submanifolds and diffeomorphisms.
Vanishing theorems and conjectures for the 2-homology of right-angled Coxeter groups.
Vanishing theorems for Killing vector fields on complete hypersurfaces in the hyperbolic space
We study vanishing theorems for Killing vector fields on complete stable hypersurfaces in a hyperbolic space . We derive vanishing theorems for Killing vector fields with bounded L²-norm in terms of the bottom of the spectrum of the Laplace operator.
Vanishing theorems for the basic cohomology of Riemannian foliations.
Variantes des inégalités de Sobolev et inégalités de Trudinger pour les groupes de Lie et les variétés riemanniennes.
Variation de la phase de diffusion et distribution des résonances
Variation du nombre de Lefschetz dans une famille d'automorphismes analytiques.
Variational approaches for the existence of multiple periodic solutions of differential delay equations.
Variational calculus on Lie algebroids
It is shown that the Lagrange's equations for a Lagrangian system on a Lie algebroid are obtained as the equations for the critical points of the action functional defined on a Banach manifold of curves. The theory of Lagrangian reduction and the relation with the method of Lagrange multipliers are also studied.
Variational characterization of equations of motion in bundles of embeddings.
In this paper we study variational principles for a general situation which includes free boundary problems with surface tension. Following [2], our main result concerns a variational principle in a infinite dimensional principal bundle of embeddings of a compact region D in a manifold M having the same dimension as D. By considering arbitrary variations, free boundary problems are included, while variations parallel to the boundary permit to consider fluid motion or flow of Hamiltonian vector fields...
Variational inequalities and harmonic mappings.
Variational inequalities in Banach spaces