Classification of Monads and a New Moduli Component of Stable Rank 2 Bundles on P³ with Even Determinant and c₂=9

The goal of this paper is to classify all minimal monads whose cohomology is a stable rank 2 bundle on P³ P 3 with Chern classes c₁=0 c 1 = 0 and c₂=9 c 2 = 9 , with the possible exception of two non-negative minimal monads. This extends the classification of minimal monads given by Hartshorne and Rao in (Hartshorne and Rao 1991, Section 5.3) for c₂≤ 8 c 2 ≤ 8 . We also prove the existence of a new component of the moduli space B(9) B ( 9 ) , which is distinct from the Hartshorne, Ein, and modified Instanton components.