Work

Fibrations and stable generalized complex structures

Year: 2018

Type: article

Abstract: 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 symplectic structure in the elliptic tangent bundle associated to this submanifold.We develop Gompf-Thurston symplectic techniques adapted to Lie algebroids, and use these to construct stable generalized complex structures out of log-symplectic structures.In particular we introduce the notion of a boundary Lefschetz fibration for this purpose and describe how they can be obtained from genus one Lefschetz fibrations over the disc.

Source: Proceedings of the London Mathematical Society

DOI: 10.1112/plms.12199

Authors: Gil R. Cavalcanti, Ralph L. Klaasse

Institutions: Utrecht University, Université Libre de Bruxelles

Language: English

Topic: Geometric and Algebraic Topology

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $4,700

Funder: Nederlandse Organisatie voor Wetenschappelijk Onderzoek