Arithmetic Monodromy Groups.
Around heat decay on forms and relations of nilpotent Lie groups
Arrangements and Milnor fibres.
Artin formalism and heat kernels.
Aspects of affine toda field theory
Aspects of parabolic invariant theory
A certain family of homogeneous spaces is investigated. Basic invariant operators for each of these structures are presented and some analogies to Levi-Civita connections of Riemannian geometry are pointed out.
Aspects of the inverse problem to the calculus of variations
Asymptotic behavior for minimizers of a -energy functional associated with -harmonic maps.
Asymptotic Behavior of Solutions to Eells-Sampson Equations near Stable Harmonic Maps.
Asymptotic behavior of the L2-metric on moduli spaces of Yang-Mills connections.
Asymptotic behavior of the L2-metric on moduli spaces of Yang-Mills connections, II.
Asymptotic behaviour and the moduli space of doubly-periodic instantons
We study doubly-periodic instantons, i.e. instantons on the product of a 1-dimensional complex torus with a complex line , with quadratic curvature decay. We determine the asymptotic behaviour of these instantons, constructing new asymptotic invariants. We show that the underlying holomorphic bundle extends to . The converse statement is also true, namely a holomorphic bundle on which is flat on the torus at infinity, and satisfies a stability condition, comes from a doubly-periodic instanton....
Asymptotic expansion in time of the Schrödinger group on conical manifolds
For Schrödinger operator on Riemannian manifolds with conical end, we study the contribution of zero energy resonant states to the singularity of the resolvent of near zero. Long-time expansion of the Schrödinger group is obtained under a non-trapping condition at high energies.
Asymptotic expansions and boundary values of eigenfunctions on Riemannian symmetric spaces.
Asymptotic Morse inequalities for analytic sheaf cohomology
Asymptotic winding of the geodesic flow on modular surfaces and continuous fractions
Asymptotic windings over the trefoil knot.
Consider the group G:=PSL2(R) and its subgroups Γ:= PSL2(Z) and Γ':=DSL2(Z). G/Γ is a canonical realization (up to an homeomorphism) of the complement S3T of the trefoil knot T, and G/Γ' is a canonical realization of the 6-fold branched cyclic cover of S3T, which has a 3-dimensional cohomology of 1-forms.Putting natural left-invariant Riemannian metrics on G, it makes sense to ask which is the asymptotic homology performed by the Brownian motion in G/Γ', describing thereby in an intrinsic way part...
Asymptotically Brownian skew products give non-loosely Bernoulli K-automorphisms.
Asymptotics for Bergman-Hodge kernels for high powers of complex line bundles
In this paper we obtain the full asymptotic expansion of the Bergman-Hodge kernel associated to a high power of a holomorphic line bundle with non-degenerate curvature. We also explore some relations with asymptotic holomorphic sections on symplectic manifolds.
Asymptotics of holomorphic sections of powers of a positive line bundle