Twisted K-theory (original) (raw)
La è una struttura matematica che gioca un ruolo centrale nella topologia algebrica, nell'algebra e nella teoria degli operatori. La K-teoria ritorta è una versione di quest'ultima.
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| dbo:abstract | La è una struttura matematica che gioca un ruolo centrale nella topologia algebrica, nell'algebra e nella teoria degli operatori. La K-teoria ritorta è una versione di quest'ultima. (it) In mathematics, twisted K-theory (also called K-theory with local coefficients) is a variation on K-theory, a mathematical theory from the 1950s that spans algebraic topology, abstract algebra and operator theory. More specifically, twisted K-theory with twist H is a particular variant of K-theory, in which the twist is given by an integral 3-dimensional cohomology class. It is special among the various twists that K-theory admits for two reasons. First, it admits a geometric formulation. This was provided in two steps; the first one was done in 1970 (Publ. Math. de l'IHÉS) by Peter Donovan and Max Karoubi; the second one in 1988 by Jonathan Rosenberg in Continuous-Trace Algebras from the Bundle Theoretic Point of View. In physics, it has been conjectured to classify D-branes, Ramond-Ramond field strengths and in some cases even spinors in type II string theory. For more information on twisted K-theory in string theory, see K-theory (physics). In the broader context of K-theory, in each subject it has numerous isomorphic formulations and, in many cases, isomorphisms relating definitions in various subjects have been proven. It also has numerous deformations, for example, in abstract algebra K-theory may be twisted by any integral cohomology class. (en) K이론에서, 뒤틀린 K이론(뒤틀린K理論, 영어: twisted K-theory)은 어떤 3차 특이 코호몰로지류에 의존하는, 위상 K이론의 일반화이다. (ko) Em matemática, a K-teoria retorcida (também chamada de K-teoria com coeficientes locais) é uma variação da K-Teoria, uma teoria matemática da década de 1950 que abrange a topologia algébrica, álgebra abstrata e a teoria dos operadores. Mais especificamente, K-teoria retorcida com torção H é uma variante particular de K-teoria, em que a torção é dada por uma classe de Integral tridimensional de co-homologia. Ela é especial, entre as várias torções que a K-teoria admite, por duas razões. Em primeiro lugar, ela admite uma formulação geométrica. Esta foi fornecida em duas etapas: a primeira foi feita em 1970 (Math publ. de l'IHES.) por Peter Donovan e Karoubi Max e a segunda em 1988 por Jonathan Rosenberg em Álgebras de traço Contínuo . (pt) |
| dbo:wikiPageExternalLink | http://www.hausdorff-research-institute.uni-bonn.de/files/preprints/geometry_and_physics/D-brane-new.pdf http://www.physics.rutgers.edu/~gmoore http://journals.tubitak.gov.tr/math/issues/mat-01-25-1/mat-25-1-10-0103-10.pdf https://arxiv.org/abs/abs/hep-th/0106194 https://arxiv.org/abs/abs/math.KT/0510674 https://arxiv.org/abs/hep-th/0108100 https://arxiv.org/abs/math/0701789 https://web.archive.org/web/20060327202028/http:/anziamj.austms.org.au/JAMSA/V47/Part3/Rosenberg.html http://www.damtp.cam.ac.uk/strings02/avt/atiyah/ |
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| rdfs:comment | La è una struttura matematica che gioca un ruolo centrale nella topologia algebrica, nell'algebra e nella teoria degli operatori. La K-teoria ritorta è una versione di quest'ultima. (it) K이론에서, 뒤틀린 K이론(뒤틀린K理論, 영어: twisted K-theory)은 어떤 3차 특이 코호몰로지류에 의존하는, 위상 K이론의 일반화이다. (ko) In mathematics, twisted K-theory (also called K-theory with local coefficients) is a variation on K-theory, a mathematical theory from the 1950s that spans algebraic topology, abstract algebra and operator theory. In physics, it has been conjectured to classify D-branes, Ramond-Ramond field strengths and in some cases even spinors in type II string theory. For more information on twisted K-theory in string theory, see K-theory (physics). (en) Em matemática, a K-teoria retorcida (também chamada de K-teoria com coeficientes locais) é uma variação da K-Teoria, uma teoria matemática da década de 1950 que abrange a topologia algébrica, álgebra abstrata e a teoria dos operadores. (pt) |
| rdfs:label | K-teoria ritorta (it) 뒤틀린 K이론 (ko) K-teoria retorcida (pt) Twisted K-theory (en) |
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