A uniqueness theorem for Frobenius manifolds and Gromov–Witten theory for orbifold projective lines

We prove that the Frobenius structure constructed from the Gromov–Witten theory for an orbifold projective line with at most three orbifold points is uniquely determined by the Witten–Dijkgraaf–Verlinde–Verlinde equations with certain natural initial conditions.

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Bibliographic Details
Published in:Journal für die reine und angewandte Mathematik 2015-05, Vol.2015 (702), p.143-171
Main Authors: Ishibashi, Yoshihisa, Shiraishi, Yuuki, Takahashi, Atsushi
Format: Article
Language:English
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Description
Summary:We prove that the Frobenius structure constructed from the Gromov–Witten theory for an orbifold projective line with at most three orbifold points is uniquely determined by the Witten–Dijkgraaf–Verlinde–Verlinde equations with certain natural initial conditions.
ISSN:0075-4102
1435-5345
DOI:10.1515/crelle-2013-0030