Non-commutative complex differential geometry |
| |
| Affiliation: | 1. School of Physical Sciences, Swansea University, Swansea SA2 8PP, Wales, United Kingdom;2. Department of Mathematics, Box 354350, University of Washington, Seattle, WA 98195, United States |
| |
| Abstract: | This paper defines and examines the basic properties of non-commutative analogues of almost complex structures, integrable almost complex structures, holomorphic curvature, cohomology, and holomorphic sheaves. The starting point is a differential structure on a non-commutative algebra defined in terms of a differential graded algebra. This is compared to current ideas on non-commutative algebraic geometry. |
| |
| Keywords: | Noncommutative complex geometry Almost complex structures Non-commutative holomorphic bundles |
| 本文献已被 ScienceDirect 等数据库收录！ |
|
