GW Invariants and Invariant Quotients

Mathematics – Algebraic Geometry

Scientific paper

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revised version, 37 pages, LaTeX

Scientific paper

The article investigates the following question: given a projective variety X
acted on by a connected and reductive group G, which is the relationship
between the Gromov-Witten invariants of X and those of X//G? In this study we
shall also try to give an algebraic approach to the so called Hamiltonian
Gromov-Witten invariants which have appeared rather recenly in the literature.

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