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We present evidence for an undiscovered link between N=2 supersymmetricquantum field theories and the mathematical theory of helices of coherentsheaves. We give a thorough review for nonspecialists of both the mathematicsand physics involved, and invite the reader to take up the search for thiselusive connection.Comment: 53 pages plain TeX (harvmac) + 3 uuencoded figure

Solitons and helices: The search for a math-physics bridge