Axiomatic quantum field theory in terms of operator product expansions: general framework, and perturbation theory via Hochschild cohomology.
B. Y. Chen's inequality for semi-slant submanifolds in -space forms.
Balanced metrics and noncommutative Kähler geometry.
Bemerkungen über den Zusammenhang der Flächen
Berezin and Berezin-Toeplitz quantizations for general function spaces.
The standard Berezin and Berezin-Toeplitz quantizations on a Kähler manifold are based on operator symbols and on Toeplitz operators, respectively, on weighted L2-spaces of holomorphic functions (weighted Bergman spaces). In both cases, the construction basically uses only the fact that these spaces have a reproducing kernel. We explore the possibilities of using other function spaces with reproducing kernels instead, such as L2-spaces of harmonic functions, Sobolev spaces, Sobolev spaces of holomorphic...
Berezin quantization and holomorphic representations
Berezin-Toeplitz quantization for compact Kähler manifolds. A review of results.
Berezin--Toeplitz quantization on the Schwartz space of bounded symmetric domains.
Bifurcation of periodic orbits of time dependent Hamiltonian systems on symplectic manifolds.
Billards en polygones et groupes fuchsiens
Binary operations in classical and quantum mechanics
Binary operations on algebras of observables are studied in the quantum as well as in the classical case. It is shown that certain natural compatibility conditions with the associative product imply properties which are usually additionally required.
Bohr–Sommerfeld quantization condition for non-selfadjoint operators in dimension 2.
Bound states in completely integrable systems with two types of particles
Brownian motion on a surface of negative curvature
B.-Y. Chen's inequalities for submanifolds of Sasakian space forms
Recentemente, B.-Y. Chen ha introdotto una nuova serie di invarianti riemanniani per ogni varietà riemanniana. Ha anche ottenuto disuguaglianze strette per questi invarianti per sottovarietà di forme spaziali reali e complesse in funzione della loro curvatura media. Nel presente lavoro proviamo analoghe stime per gli invarianti per sottovarietà -totalmente reali e di contatto di una forma spaziale di Sasaki .
Calabi quasi-morphisms for some non-monotone symplectic manifolds.
Calculation of Rozansky-Witten invariants on the Hilbert schemes of points on a K3 surface and the generalised kummer varieties.
Calculus on Lie algebroids, Lie groupoids and Poisson manifolds [Book]
Calculus on symplectic manifolds
On a symplectic manifold, there is a natural elliptic complex replacing the de Rham complex. It can be coupled to a vector bundle with connection and, when the curvature of this connection is constrained to be a multiple of the symplectic form, we find a new complex. In particular, on complex projective space with its Fubini–Study form and connection, we can build a series of differential complexes akin to the Bernstein–Gelfand–Gelfand complexes from parabolic differential geometry.
Canonical contact forms on spherical CR manifolds
We construct the CR invariant canonical contact form on scalar positive spherical CR manifold , which is the CR analogue of canonical metric on locally conformally flat manifold constructed by Habermann and Jost. We also construct another canonical contact form on the Kleinian manifold , where is a convex cocompact subgroup of and is the discontinuity domain of . This contact form can be used to prove that is scalar positive (respectively, scalar negative, or scalar vanishing) if and...