Branes on Poisson varieties
Abstract
We first extend the notion of connection in the context of Courant algebroids to obtain a new characterization of generalized Kaehler geometry. We then establish a new notion of isomorphism between holomorphic Poisson manifolds, which is non-holomorphic in nature. Finally we show an equivalence between certain configurations of branes on Poisson varieties and generalized Kaehler structures, and use this to construct explicitly new families of generalized Kaehler structures on compact holomorphic Poisson manifolds equipped with positive Poisson line bundles (e.g. Fano manifolds). We end with some speculations concerning the connection to non-commutative algebraic geometry.
Cite
@article{arxiv.0710.2719,
title = {Branes on Poisson varieties},
author = {Marco Gualtieri},
journal= {arXiv preprint arXiv:0710.2719},
year = {2010}
}
Comments
Dedicated to Nigel Hitchin on the occasion of his sixtieth birthday. Corrected several errors and added references