Tuesday, July 17, 2012

0903.4459 (Khoa Lu Nguyen et al.)

Morphisms of CohFT algebras and quantization of the Kirwan map    [PDF]

Khoa Lu Nguyen, Chris Woodward, Fabian Ziltener
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.
View original: http://arxiv.org/abs/0903.4459

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