About: Generalized complex structure

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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 and .

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rdf:type	building
rdfs:label	Generalized complex structure (en)
rdfs:comment	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 and . (en)
sameAs	Generalized complex structure Generalized complex structure
dbp:wikiPageUsesTemplate	dbt:Cite_journal dbt:Cite_thesis dbt:Main dbt:No_footnotes dbt:String_theory_topics
Subject	Differential geometry Structures on manifolds
gold:hypernym	Property
prov:wasDerivedFrom	http://en.wikipedia.org/wiki/Generalized_complex_structure?oldid=988959023&ns=0
Wikipage page ID	6871218 (xsd:integer)
page length (characters) of wiki page	20750 (xsd:nonNegativeInteger)
Wikipage revision ID	988959023 (xsd:integer)
Link from a Wikipage to another Wikipage	Formal sum Projection (mathematics) Robbert Dijkgraaf Supersymmetry Advances in Theoretical and Mathematical Physics Almost complex manifold Andrew Neitzke Annals of Mathematics Antiholomorphic function Semi-continuity Sergei Gukov Canonical bundle Cartesian product Differential geometry Structures on manifolds Diffeomorphism Smoothness Differential form Differential geometry Dual space Quantum field theory Quarterly Journal of Mathematics Chris Hull Cumrun Vafa Line bundle Linear complex structure Pure spinor Clifford algebra Closed and exact differential forms Codimension Commutative property Compactification (physics) Complement (complexity) Complex analysis Complex conjugate Complex geometry Cotangent bundle Courant bracket Holomorph Open set Weyl semimetal Functional (mathematics) G-structure on a manifold Gamma matrices Scalar (mathematics) Sylvester James Gates Symplectic geometry Exterior algebra Exterior derivative Fiber bundle Group representation Inner product space Integer Integrable system Intersection (set theory) Invariant (mathematics) Kähler manifold Vector bundle Vector field String theory Subbundle Topological string theory Isometry Isomorphism Kalb–Ramond field Lie derivative Martin Roček Mathematics Matrix addition Neighbourhood (mathematics) Nigel Hitchin Poisson manifold Rank (linear algebra) Signature (topology) Tangent bundle Tangent vector dbr:Marco_Gualtieri dbr:Gil_Cavalcanti dbr:Bihermitian_manifolds dbr:Generalized_Kähler_structure dbr:Pure_spinor_bundle
has abstract	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 and . 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 Neitzke 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 in physical string theory, as supersymmetric flux compactifications, which relate 10-dimensional physics to 4-dimensional worlds like ours, require (possibly twisted) generalized complex structures. (en)
foaf:isPrimaryTopicOf	http://en.wikipedia.org/wiki/Generalized_complex_structure

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