Morphisms of CohFT algebras and quantization of the Kirwan map

Details Morphisms of CohFT algebras and quantization of the Kirwan map Morphisms of CohFT algebras and quantization of the Kirwan map

2009-03-25

arxiv.org/abs/0903.4459v3

Mathematics

Algebraic Geometry

31 pages, 2 figures. Minor typos fixed in this revision

Scientific paper

We introduce a notion of morphism of CohFT algebras, based on the analogy with A-infinity morphisms. We discuss a "quantization" of the classical Kirwan morphism to a morphism of CohFT algebras from the equivariant quantum cohomology of a G-variety to the quantum cohomology of its git or symplectic quotient, and an example relating to the orbifold quantum cohomology of a compact toric orbifold. Finally we identify the space of Cartier divisors on the moduli space of scaled marked curves; these appear in the splitting axiom.

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