The moment graph for Bott-Samelson varieties and applications to quantum cohomology
Abstract
We give a description of the moment graph for Bott-Samelson varieties in arbitrary Lie type. We use this, along with curve neighborhoods and explicit moduli space computations, to compute a presentation for the small quantum cohomology ring of a particular Bott-Samelson variety in Type A. We also show the conjecture O of Galkin, Golyshev, and Iritani holds for that Bott-Samelson variety.
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