2017/11/14 by Michael Bailey, Bailey, Michael
Mathematics · Physics and Astronomy · #53D05 (Secondary) #53D17 #53D18 (Primary) #Algebraic structures and combinatorial models #Black Holes and Theoretical Physics #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #Symplectic Geometry (math.SG)
paper · pdf · doi:10.48550/arxiv.1711.05249
openalex publication_date 2017/11/14 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We show (modulo a parity condition) that, a generalized complex brane in a generalized complex manifold is locally equivalent to a holomorphic coisotropic submanifold of a holomorphic Poisson structure, with higher-rank branes corresponding to holomorphic Poisson modules. We describe (but do not prove here) the global version of this holomorphicity result. Finally, we use the "local holomorphic gauges" to give examples, in the Hopf surface with nonstandard generalized complex structure, of branes which are neither Lagrangian nor complex.