A surgery for generalized complex structures on 4-manifolds

DOI10.4310/jdg/1180135665zbMath1124.57011arXivmath/0602333OpenAlexW1571258399WikidataQ115196203 ScholiaQ115196203MaRDI QIDQ881952

Gil R. Cavalcanti, Marco Gualtieri

Publication date: 22 May 2007

Published in: Journal of Differential Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0602333

zbMATH Keywords

4-manifoldssymplectic structuresurgerygeneralized complex structure

Mathematics Subject Classification ID

Related Items (16)

Semichiral fields on \(S^2\) and generalized Kähler geometry ⋮ Odd type generalized complex structures on 4-manifolds ⋮ Generalized \(N=1\) orientifold compactifications and the Hitchin functionals ⋮ Toric generalized Kähler structures. I ⋮ Integration of generalized complex structures ⋮ Generalized Luttinger surgery and other cut-and-paste constructions in generalized complex geometry ⋮ Generalized complex geometry ⋮ Constructions of generalized complex structures in dimension four ⋮ On the number of type change loci of a generalized complex structure ⋮ Some examples of stable generalized complex 6-manifolds with either 0 or negative Euler characteristic ⋮ Fibrations and stable generalized complex structures ⋮ Generalized Moser lemma ⋮ Unobstructed Deformations of Generalized Complex Structures Induced by $$C^{\infty } $$ C ∞ Logarithmic Symplectic Structures and Logarithmic Poisson Structures ⋮ Local structure of generalized contact manifolds ⋮ Blow-up of generalized complex 4-manifolds ⋮ Twistor space of generalized complex structures

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