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We develop a theory of symplectic cobordism and a Duistermaat-Heckman principle for Hamiltonian loop group actions. As an application, we construct a symplectic cobordism between moduli spaces of flat connections on the three holed sphere and disjoint unions of toric varieties. This cobordism...
We compute the inverse image of a functional in the Zassenhaus variety. We apply this computation to describe the category of representations for a regular functional.
It is known that the only irreducible
-closed subalgebra of
itself. A generalization of this theorem is established and some extensions of recent reducibility results are obtained based on this generalization. We then apply these extensions to derive some...
Normalizers and p-normalizers of maximal tori in p-compact groups can be characterized by the Euler characteristic of the associated homogeneous spaces. Applied to centralizers of elementary abelian p-groups these criteria show that the normalizer of a maximal torus of the centralizer is given...
Trace theorems are proved for non-isotropic Sobolev and
-Lipschitz spaces defined by vector fields satisfying Hörmander's bracket condition of order 2. It is shown that the loss of regularity by traces is the same as in the classical case.
If F is a compact orientable surface it is known that the Kauffman bracket skein module of
$F \times I$
has a multiplicative structure. Our central result is the construction of a finite set of knots which generate the module as an algebra. We can then define an integer valued invariant of...
We give a new algebraic characterization of holomorphic nondegeneracy for embedded real algebraic hypersurfaces in
. We then use this criterion to prove the following result about real analyticity of smooth CR mappings: any smooth CR mapping H between a real...
The notion of a k-convex
-support function for a toric variety
is introduced. A criterion for a line bundle L to generate k-jets on X is given in terms of the k-convexity of the
. Equivalently L is proved to be k-jet ample if and...
Abstract. Let J be the Fourier expansion at infinity of the modular invariant j associated to a Drinfeld module of rank 2 defined on the algebraic closure
and t an element of the completion of
. Then at least one of the two elements t, J(t) is...
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