Difference Equation for Quintic 3-Fold
Abstract
In this paper, we use the Mellin-Barnes-Watson method to relate solutions of a certain type of q-difference equations at Q=0 and Q=∞. We consider two special cases; the first is the q-difference equation of K-theoretic I-function of the quintic, which is degree 25; we use Adams' method to find the extra 20 solutions at Q=0. The second special case is a fuchsian case, which is confluent to the differential equation of the cohomological I-function of the quintic. We compute the connection matrix and study the confluence of the q-difference structure.
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