Schwinger terms, gerbes, and operator residues
Seiberg-Witten Theory
We give an introduction into and exposition of Seiberg-Witten theory.
Self-adjointness of lattice Yang-Mills hamiltonians and Kato's inequality with indefinite metric
Self-adjointness of Schrödinger-type operators with singular potentials on manifolds of bounded geometry.
Self-interacting diffusions II : convergence in law
Semi-classical approximation and microcanonical ensemble
Semiclassical Asymptotics on Covering Manifolds and Morse Inequalities.
Semiclassical electron motion and Novikov's conjecture
Semi-classical functional calculus on manifolds with ends and weighted estimates
For a class of non compact Riemannian manifolds with ends, we give semi-classical expansions of bounded functions of the Laplacian. We then study related boundedness properties of these operators and show in particular that, although they are not bounded on in general, they are always bounded on suitable weighted spaces.
Semi-classical measures for generalized plane waves
Following joint work with Dyatlov [DyGu], we describe the semi-classical measures associated with generalized plane waves for metric perturbation of , under the condition that the geodesic flow has trapped set of Liouville measure .
Semiclassical resolvent estimates at trapped sets
We extend our recent results on propagation of semiclassical resolvent estimates through trapped sets when a priori polynomial resolvent bounds hold. Previously we obtained non-trapping estimates in trapping situations when the resolvent was sandwiched between cutoffs microlocally supported away from the trapping: , a microlocal version of a result of Burq and Cardoso-Vodev. We now allow one of the two cutoffs, , to be supported at the trapped set, giving when the a priori bound is .
Semiclassical spectral estimates for Toeplitz operators
Let be a compact Kähler manifold with integral Kähler class and a holomorphic Hermitian line bundle whose curvature is the symplectic form of . Let be a Hamiltonian, and let be the Toeplitz operator with multiplier acting on the space . We obtain estimates on the eigenvalues and eigensections of as , in terms of the classical Hamilton flow of . We study in some detail the case when is an integral coadjoint orbit of a Lie group.
Semi-elliptic operators generated by vector fields [Book]
Semi-free Zp-Actions on Highly-Connected Manifolds.
Semigroup properties for the second fundamental form.
Semiholonomic jets and induced modules in Cartan geometry calculus
The famous Erlangen Programme was coined by Felix Klein in 1872 as an algebraic approach allowing to incorporate fixed symmetry groups as the core ingredient for geometric analysis, seeing the chosen symmetries as intrinsic invariance of all objects and tools. This idea was broadened essentially by Elie Cartan in the beginning of the last century, and we may consider (curved) geometries as modelled over certain (flat) Klein’s models. The aim of this short survey is to explain carefully the basic...
Semilinear parabolic problems on manifolds and applications to the non-compact Yamabe problem.
Semilinear wave equation on manifolds
Semimartingales in predictable random open sets
Separable -harmonic functions in a cone and related quasilinear equations on manifolds