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Functoriality in intersection theory and a conjecture of Cox, Katz, and Lee. (English) Zbl 1078.14535
Summary: A functoriality property of the virtual fundamental class on the moduli space of stable maps is proven. The property is used to supply a proof of a conjecture of D. A. Cox, S. Katz and Y.-P. Lee [in: Advances in algebraic geometry motivated by physics. Proc. AMS spec. sess. Lowell, 2000, Contemp. Math. 276, 157–166 (2001; Zbl 1065.14014)].

MSC:
14N35 Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects)
14C17 Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry
14J10 Families, moduli, classification: algebraic theory
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