Results 21 to 30 of about 2,939,402 (89)
Topological recursion and geometry [PDF]
This paper aims at explaining some incarnations of the idea of topological recursion: in two-dimensional quantum field theories (2d TQFTs), in cohomological field theories (CohFT), and in the computation of volumes of the moduli space of curves. It gives an introduction to the formalism of quantum Airy structures on which the topological recursion is ...
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Topology and Geometry of the CfA2 Redshift Survey [PDF]
We analyse the redshift space topology and geometry of the nearby Universe by computing the Minkowski functionals of the Updated Zwicky Catalogue (UZC).
A. Diaferio+3 more
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The geometry and topology of reconfiguration
AbstractA number of reconfiguration problems in robotics, biology, computer science, combinatorics, and group theory coordinate local rules to effect global changes in system states. We define for any such reconfigurable system a cubical complex—the state complex—which coordinates independent local moves.
Robert Ghrist, V. Peterson
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Topological Persistence in Geometry and Analysis [PDF]
An Erratum ...
Karina Samvelyan+3 more
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Noncommutative geometry, topology and the standard model vacuum [PDF]
As a ramification of a motivational discussion for previous joint work, in which equations of motion for the finite spectral action of the Standard Model were derived, we provide a new analysis of the results of the calculations herein, switching from ...
Connes A.+6 more
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Quantum geometry of topological gravity [PDF]
12 pages, LaTeX, 4 figures using psfig.sty and epsf ...
Ambjørn, Jan+6 more
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Some Algebraic Symmetries of (2,2)-Supersymmetric Systems [PDF]
The Hilbert spaces of supersymmetric systems admit symmetries which are often related to the topology and geometry of the (target) field-space. Here, we study certain (2,2)-supersymmetric systems in 2-dimensional spacetime which are closely related to ...
Hübsch T., TRISTAN HÜBSCH
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Conormal bundles, contact homology and knot invariants [PDF]
We summarize recent work on a combinatorial knot invariant called knot contact homology. We also discuss the origins of this invariant in symplectic topology, via holomorphic curves and a conormal bundle naturally associated to the knot.Comment: This is ...
Ng, Lenhard
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Geometry and topology of groups [PDF]
This short note is a slightly expanded version of the talk given by the author at the 54th LMD Conference, devoted to present a very informal and brief introduction to the main ideas of the asymptotic geometry of groups.
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Round and sleek topological spaces [PDF]
In this paper, we introduce round and sleek topological spaces and study their properties.
arxiv