Stable generalized complex structures
GR Cavalcanti, M Gualtieri - Proceedings of the London …, 2018 - Wiley Online Library
A stable generalized complex structure is one that is generically symplectic but degenerates
along a real codimension two submanifold, where it defines a generalized Calabi–Yau …
along a real codimension two submanifold, where it defines a generalized Calabi–Yau …
Local classification of generalized complex structures
M Bailey - J. Differential Geom, 2013 - projecteuclid.org
We give a local classification of generalized complex structures. About a point, a
generalized complex structure is equivalent to a product of a symplectic manifold with a …
generalized complex structure is equivalent to a product of a symplectic manifold with a …
From generalized Kähler to generalized Sasakian structures
I Vaisman - Journal of Geometry and Symmetry in Physics, 2010 - projecteuclid.org
FROM GENERALIZED KÄHLER TO GENERALIZED SASAKIAN STRUCTURES 1.
Introduction Page 1 JGSP 18 (2010) 63–86 FROM GENERALIZED KÄHLER TO …
Introduction Page 1 JGSP 18 (2010) 63–86 FROM GENERALIZED KÄHLER TO …
Unobstructed Deformations of Generalized Complex Structures Induced by Logarithmic Symplectic Structures and Logarithmic Poisson Structures
R Goto - Geometry and Topology of Manifolds: 10th China …, 2016 - Springer
We shall introduce the notion of C^ ∞ C∞ logarithmic symplectic structures on a
differentiable manifold which is an analog of the one of logarithmic symplectic structures in …
differentiable manifold which is an analog of the one of logarithmic symplectic structures in …
Self-crossing stable generalized complex structures
GR Cavalcanti, RL Klaasse, A Witte - arXiv preprint arXiv:2004.07559, 2020 - arxiv.org
We extend the notion of (smooth) stable generalized complex structures to allow for an
anticanonical section with normal self-crossing singularities. This weakening not only allows …
anticanonical section with normal self-crossing singularities. This weakening not only allows …
Geometric structures and Lie algebroids
RL Klaasse - arXiv preprint arXiv:1712.09560, 2017 - arxiv.org
In this thesis we study geometric structures from Poisson and generalized complex geometry
with mild singular behavior using Lie algebroids. The process of lifting such structures to …
with mild singular behavior using Lie algebroids. The process of lifting such structures to …
Fibrations and stable generalized complex structures
GR Cavalcanti, RL Klaasse - Proceedings of the London …, 2018 - Wiley Online Library
A generalized complex structure is called stable if its defining anticanonical section vanishes
transversally, on a codimension‐two submanifold. Alternatively, it is a zero elliptic residue …
transversally, on a codimension‐two submanifold. Alternatively, it is a zero elliptic residue …
Constructions of generalized complex structures in dimension four
R Torres - Communications in Mathematical Physics, 2012 - Springer
In this note, four-manifold theory is employed to study generalized complex structures. We
drastically enlarge the number of available known examples of generalized complex four …
drastically enlarge the number of available known examples of generalized complex four …
On the number of type change loci of a generalized complex structure
R Torres, J Yazinski - Letters in Mathematical Physics, 2014 - Springer
In this note, we describe a procedure to construct generalized complex structures whose
type change locus has arbitrarily many path components on products of the circle with a …
type change locus has arbitrarily many path components on products of the circle with a …
C^\infty-logarithmic transformations and generalized complex structures
R Goto, K Hayano - arXiv preprint arXiv:1305.4001, 2013 - arxiv.org
Applying logarithmic transformations along 2-tori, we construct a generalized complex
structure J_n with n type changing luci for every $ n\geq 0$ on genus 1-Lefschetz fibrations …
structure J_n with n type changing luci for every $ n\geq 0$ on genus 1-Lefschetz fibrations …