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In this paper, we present a construction of stable bundles on Calabi–Yau three-folds using the method of bundle extensions. This construction applies to any given Calabi–Yau three-fold with  h  1,1 &gt;1. We give examples of stable bundles of ranks 2 and 4 constructed out of pure geometric data of the given Calabi–Yau space. As an application, we find that some of these bundles satisfy the physical constraint imposed by heterotic string anomaly cancellation.

New Examples of Stable Bundles on Calabi–Yau Three-Folds