Titlebook: Geometry and Dynamics of Groups and Spaces; In Memory of Alexand Mikhail Kapranov,Yuri Ivanovich Manin,Leonid Potya Book 2008 Birkh?user Ba

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Geodesic Flow on the Normal Congruence of a Minimal Surfaces. The metric is lorentz with isolated degenerate points and the flow is shown to be completely integrable. In addition, we give a new holomorphic description of minimal surfaces in ?. and relate it to the classical Weierstrass representation.

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The Chern Character of a Parabolic Bundle, and a Parabolic Corollary of Reznikov’s Theoreml features and variants of parabolic structures are discussed. Parabolic bundles arising from logarithmic connections form an important class of examples. As an application, we consider the situation when the local monodromies are semi-simple and are of finite order at infinity. In this case the par

collagenase

, ,-bimodules and Serre , ,-functorserential graded category of complexes of .-modules, where . is a ground commutative ring. Serre ..-functors are defined via ..-bimodules likewise Kontsevich and Soibelman. We prove that a unital closed under shifts ..-category . over a field . admits a Serre ..-functor if and only if its homotopy ca

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Three Topological Properties of Small Eigenfunctions on Hyperbolic Surfacesn an hyperbolic surface with eigenvalue ≤ 1/4 has an incompressible nodal set, we deduce the following propositions: 1) the non-existence of cuspidal eigenfunctions with eigenvalue ≤ 1/4 on surfaces of genus 0 or 1 (a result already obtained by Huxley); 2) the dimension of a cuspidal eigenspace with

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,Me?instrumente für Strom und Spannung,ate them to classical Quillen metrics in a formula where the Gillet-Soulé genus . appears. This formula is parallel to a formula we had proved with Lebeau for Ray-Singer metrics in the context of de Rham theory..We develop the theory in the equivariant setting, and also for holomorphic torsion forms.

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The Hypoelliptic Dirac Operatorate them to classical Quillen metrics in a formula where the Gillet-Soulé genus . appears. This formula is parallel to a formula we had proved with Lebeau for Ray-Singer metrics in the context of de Rham theory..We develop the theory in the equivariant setting, and also for holomorphic torsion forms.

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