Noncommutative complex differential geometry
By Edwin J. Beggs, S. P. Smith. 2012
52 citations recorded by the source corpus.
This paper defines and examines the basic properties of noncommutative analogues of almost complex structures, integrable almost complex structures, holomorphic curvature, cohomology, and holomorphic sheaves. The starting point is a differential structure on a noncommutative algebra defined in terms of a differential graded algebra. This is compared to current ideas on noncommutative algebraic geometry.
Subfields: Algebra and Number Theory, Geometry and Topology, Mathematical Physics
View Paper: https://www.semanticscholar.org/paper/4db78b261185b9b2e3408dcab435cf3d4f28cd46
How researchers see this paper
The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.
In Algebra and Number Theory
In Geometry and Topology
In Mathematical Physics
Citations in the corpus
- Noncommutative K\"ahler Structures on Quantum Homogeneous Spaces (2011, background): “Subsequently, Beggs and Smith introduced a second more comprehensive approach to noncommutative complex geometry in [1].”