Results 21 to 30 of about 56,267 (102)
Robert MacPherson and arithmetic groups [PDF]
We survey contributions of Robert MacPherson to the theory of arithmetic groups. There are two main areas we discuss: (i) explicit reduction theory for Siegel modular threefolds, and (ii) constructions of compactifications of locally symmetric spaces ...
Gunnells, Paul E.
core +3 more sources
A Strong Coupling Test of S-Duality [PDF]
By studying the partition function of $N=4$ topologically twisted supersymmetric Yang-Mills on four-manifolds, we make an exact strong coupling test of the Montonen-Olive strong-weak duality conjecture.
't Hooft +64 more
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Cop and robber game and hyperbolicity
In this note, we prove that all cop-win graphs G in the game in which the robber and the cop move at different speeds s and s' with s'0, this establishes a new - game-theoretical - characterization of Gromov hyperbolicity.
Chalopin, Jérémie +3 more
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Transplantation of Local Nets and Geometric Modular Action on Robertson-Walker Space-Times [PDF]
A novel method of transplanting algebras of observables from de Sitter space to a large class of Robertson-Walker space-times is exhibited. It allows one to establish the existence of an abundance of local nets on these spaces which comply with a ...
Buchholz, Detlev +2 more
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New Dimensions for Wound Strings: The Modular Transformation of Geometry to Topology [PDF]
We show, using a theorem of Milnor and Margulis, that string theory on compact negatively curved spaces grows new effective dimensions as the space shrinks, generalizing and contextualizing the results in hep-th/0510044. Milnor's theorem relates negative
A. Manning +12 more
core +5 more sources
Dynamics of compact quantum metric spaces
We provide a detailed study of actions of the integers on compact quantum metric spaces, which includes general criteria ensuring that the associated crossed product algebra is again a compact quantum metric space in a natural way.
Aguilar +21 more
core +1 more source
Modular curves, C* algebras, and chaotic cosmology [PDF]
We make some brief remarks on the relation of the mixmaster universe model of chaotic cosmology to the geometry of modular curves and to noncommutative geometry.
Marcolli, Matilde
core +1 more source
Modularity, Quaternion-Kahler spaces and Mirror Symmetry
We provide an explicit twistorial construction of quaternion-Kahler manifolds obtained by deformation of c-map spaces and carrying an isometric action of the modular group SL(2,Z).
Alexandrov, Sergei, Banerjee, Sibasish
core +3 more sources
Asymptotically Hilbertian Modular Banach Spaces: Examples of Uncountable Categoricity
We give a criterion ensuring that the elementary class of a modular Banach space E (that is, the class of Banach spaces, some ultrapower of which is linearly isometric to an ultrapower of E) consists of all direct sums E\oplus_m H, where H is an ...
Henson, C. Ward, Raynaud, Yves
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A walk in the noncommutative garden [PDF]
This text is written for the volume of the school/conference "Noncommutative Geometry 2005" held at IPM Tehran. It gives a survey of methods and results in noncommutative geometry, based on a discussion of significant examples of noncommutative spaces in
Connes, Alain, Marcolli, Matilde
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