-curvature, spectral invariants, and representation theory.
-deformed superspace and -extended supersymmetric Hamiltonian with arbitrary superpotential
QED on a lattice : I. Infrared asymptotic freedom for bounded fields
Quadratic harmonic morphisms and O-systems
We introduce O-systems (Definition 3.1) of orthogonal transformations of , and establish correspondences both between equivalence classes of Clifford systems and those of O-systems, and between O-systems and orthogonal multiplications of the form , which allow us to solve the existence problems both for -systems and for umbilical quadratic harmonic morphisms simultaneously. The existence problem for general quadratic harmonic morphisms is then solved by the Splitting Lemma. We also study properties...
Quadratic mappings and configuration spaces
We discuss some approaches to the topological study of real quadratic mappings. Two effective methods of computing the Euler characteristics of fibers are presented which enable one to obtain comprehensive results for quadratic mappings with two-dimensional fibers. As an illustration we obtain a complete topological classification of configuration spaces of planar pentagons.
Quand deux sous-variétés sont forcées par leur géométrie à se rencontrer
Quantification d'une variété symplectique
Quantification et analyse pseudo-différentielle
Quantification et approximations semi-classiques
Quantification relativiste
Quantitative analysis of metastability in reversible diffusion processes via a Witten complex approach.
We present here a simplified version of recent results obtained with B. Helffer and M. Klein. They are concerned with the exponentally small eigenvalues of the Witten Laplacian on -forms. We show how the Witten complex structure is better taken into account by working with singular values. This provides a convenient framework to derive accurate approximations of the first eigenvalues of and solves efficiently the question of weakly resonant wells.
Quantization and global properties of manifolds
Quantization of a dimensionally reduced Seiberg-Witten moduli space.
Quantization of cohomology in semi-simple Lie algebras.
Quantum 4-sphere: the infinitesimal approach
We describe how the constructions of quantum homogeneous spaces using infinitesimal invariance and quantum coisotropic subgroups are related. As an example we recover the quantum 4-sphere of [2] through infinitesimal invariance with respect to .
Quantum Barnes function as the partition function of the resolved conifold.
Quantum Equivalent Magnetic Fields that Are Not Classically Equivalent
We construct pairs of compact Kähler-Einstein manifolds of complex dimension with the following properties: The canonical line bundle has Chern class , and for each positive integer the tensor powers and are isospectral for the bundle Laplacian associated with the canonical connection, while and – and hence and – are not homeomorphic. In the context of geometric quantization, we interpret these examples as magnetic fields which are quantum equivalent but not classically equivalent....
Quantum field theory in a non-commutative space: theoretical predictions and numerical results on the fuzzy sphere.
Quantum gravity: unification of principles and interactions, and promises of spectral geometry.
Quantum homogeneous superspaces and quantum duality principle
We define the concept of quantum section of a line bundle of a homogeneous superspace and we employ it to define the concept of quantum homogeneous projective superspace. We also suggest a generalization of the QDP to the quantum supersetting.