The Double Gromov-witten Invariants of Hirzebruch Surfaces Are Piecewise Polynomial
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چکیده
We define the double Gromov-Witten invariants of Hirzebruch surfaces in analogy with double Hurwitz numbers, and we prove that they satisfy a piecewise polynomiality property analogous to their 1-dimensional counterpart. Furthermore we show that each polynomial piece is either even or odd, and we compute its degree. Our methods combine floor diagrams and Ehrhart theory.
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تاریخ انتشار 2014