Instantons, Poisson Structures and Generalized Kähler Geometry
Abstract
Using the idea of a generalized Kähler structure, we construct bihermitian metrics on CP2 and CP1×CP1, and show that any such structure on a compact 4-manifold M defines one on the moduli space of anti-self-dual connections on a fixed principal bundle over M. We highlight the role of holomorphic Poisson structures in all these constructions.
- Publication:
-
Communications in Mathematical Physics
- Pub Date:
- July 2006
- DOI:
- 10.1007/s00220-006-1530-y
- arXiv:
- arXiv:math/0503432
- Bibcode:
- 2006CMaPh.265..131H
- Keywords:
-
- Neural Network;
- Statistical Physic;
- Complex System;
- Nonlinear Dynamics;
- Modulus Space;
- Mathematics - Differential Geometry;
- High Energy Physics - Theory;
- 53C55;
- 53D17
- E-Print:
- 42 pages