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 WDVV equations with certain natural initial conditions.

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Bibliographic Details
Published in:arXiv.org 2012-09
Main Authors: Ishibashi, Yoshihisa, Shiraishi, Yuuki, Takahashi, Atsushi
Format: Article
Language:English
Subjects:
Initial conditions
Uniqueness theorems
Online Access:Get full text
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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 WDVV equations with certain natural initial conditions.
ISSN:2331-8422