Monad constructions of omalous bundles
Abdelmoubine Amar Henni, Marcos Jardim

TL;DR
This paper constructs examples of omalous holomorphic vector bundles, relevant in string theory, over various complex algebraic varieties using monad techniques, expanding the toolkit for theoretical physics and algebraic geometry.
Contribution
It introduces monad constructions of omalous bundles over diverse algebraic varieties, providing explicit examples in complex geometry and string theory contexts.
Findings
Constructed omalous bundles over 3-fold hypersurfaces in projective space
Developed monad methods for bundles on Calabi-Yau manifolds
Extended constructions to blow-ups and product varieties
Abstract
We consider a particular class of holomorphic vector bundles relevant for supersymmetric string theory, called \emph{omalous}, over nonsingular projective varieties. We use monads to construct examples of such bundles over 3-fold hypersurfaces in , complete intersection Calabi-Yau manifolds in , blow-ups of at distinct points, and products .
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