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In math.AG/0207233, Okounkov and Pandharipande gave an operator formalism forcomputing the equivariant Gromov-Witten theory of the projective line. Thisthesis extends their result to orbifold lines. In the effective case the theoryis again governed by the 2-Toda hierarchy. In the ineffective case thedecomposition conjecture of hep-th/0606034 is verified.

Equivariant Gromov-Witten theory of one dimensional stacks