Vector Bundles associated to Monads on Cartesian Products of Projective Spaces
Damian Maingi

TL;DR
This paper constructs and analyzes vector bundles derived from monads on products of projective spaces, proving their stability and simplicity, thus advancing the understanding of their geometric properties.
Contribution
It establishes the existence of specific monads on product spaces and demonstrates the stability and simplicity of the associated vector bundles, a novel contribution in this context.
Findings
Existence of monads on products of projective spaces
Stability of the constructed vector bundles
Simplicity of the vector bundles
Abstract
In this paper we construct vector bundles associated to monads on . We first establish the existence of such monads on . Once the monads exist, the next natural question is whether the cohomology vector bundle associated to these monads are simple or not. We study these vector bundles associated to monads and prove their stability and simplicity.
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Taxonomy
TopicsHomotopy and Cohomology in Algebraic Topology · Advanced Topics in Algebra · Advanced Algebra and Geometry
