arXiv Open Access 2007

Generalized complex geometry

Marco Gualtieri

Lihat Sumber

Abstrak

Generalized complex geometry, introduced by Hitchin, encompasses complex and symplectic geometry as its extremal special cases. We explore the basic properties of this geometry, including its enhanced symmetry group, elliptic deformation theory, relation to Poisson geometry, and local structure theory. We also define and study generalized complex branes, which interpolate between flat bundles on Lagrangian submanifolds and holomorphic bundles on complex submanifolds.

Topik & Kata Kunci

math.DG math.AG math.SG

Penulis (1)

Marco Gualtieri

Format Sitasi

APA MLA BibTeX

Gualtieri, M. (2007). Generalized complex geometry. https://arxiv.org/abs/math/0703298

Akses Cepat

Lihat di Sumber

Informasi Jurnal

Tahun Terbit: 2007
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓