The Penrose Transform for Complex Projective Space
Michael Eastwood
TL;DR
This paper develops complexes of differential operators on complex projective space using the Penrose transform, providing a method to compute their cohomology explicitly.
Contribution
It introduces new complexes of differential operators on complex projective space derived from the Penrose transform, advancing the understanding of their cohomological properties.
Findings
Constructed complexes of differential operators on complex projective space.
Computed the cohomology of these complexes.
Provided explicit descriptions of the complexes via the Penrose transform.
Abstract
Various complexes of differential operators are constructed on complex projective space via the Penrose transform, which also computes their cohomology.
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Taxonomy
TopicsGeometric Analysis and Curvature Flows · Algebraic and Geometric Analysis · Mathematics and Applications