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Generalized Complex Structure
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Details
In the field of mathematics known as differential geometry, a generalized complex structure is a property of a differential manifold that includes as special cases a complex structure and a symplectic structure. Generalized complex structures were introduced by Nigel Hitchin in 2002 and further developed by his students Marco Gualtieri and Gil Cavalcanti. These structures first arose in Hitchin's program of characterizing geometrical structures via functionals of differential forms, a connection which formed the basis of Robbert Dijkgraaf, Sergei Gukov, Andrew Nietzke and Cumrun Vafa's 2004 proposal that topological string theories are special cases of a topological M-theory. Today generalized complex structures also play a leading role physical string theory, as supersymmetric flux compactifications, which relate 10 dimensional physics to 4-dimensional worlds like ours, require (possibly twisted) generalized complex structures.
Weitere Informationen
- Allgemeine Informationen
- GTIN 09786130658793
- Editor Frederic P. Miller, Agnes F. Vandome, John McBrewster
- Sprache Englisch
- Größe H220mm x B150mm x T6mm
- Jahr 2010
- EAN 9786130658793
- Format Fachbuch
- ISBN 978-613-0-65879-3
- Titel Generalized Complex Structure
- Untertitel Mathematics, Differential geometry, Differentiable manifold, Complex manifold, Almost complex manifold, Nigel Hitchin, Functional, Differential form, Robbert Dijkgraaf, Sergei Gukov, Cumrun Vafa
- Gewicht 165g
- Herausgeber Alphascript Publishing
- Anzahl Seiten 100
- Genre Mathematik
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