On the number of type change loci of a generalized complex structure

Abstract

In this note, we describe a procedure to construct generalized complex structures with an arbitrarily large number of type change loci on products of the circle with a connected sum of closed 3-manifolds. The loci need not be isotopic.

Revised version: improved exposition, added a reference and a result

References in corpus (3)

• Nonisotopic Symplectic Tori in the Fiber Class of Elliptic Surfaces
• Constructions of generalized complex structures in dimension four
• C^\infty-logarithmic transformations and generalized complex structures

Cited by in corpus (9)

• Stable generalized complex structures
• Geometric structures and Lie algebroids
• Fibrations and stable generalized complex structures
• Fibrations in semi-toric and generalized complex geometry
• C^\infty-logarithmic transformations and generalized complex structures
• Odd type generalized complex structures on 4-manifolds
• Smoothly knotted and topologically unknotted nullhomologous surfaces in 4-manifolds
• Generalized Luttinger surgery and other cut-and-paste constructions in generalized complex geometry
• A remark on the number of components of the space of generalized complex structures