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arXiv · 1808.09302

The moment graph for Bott-Samelson varieties and applications to quantum cohomology

Camron Withrow
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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 $\mathcal{O}$ of Galkin, Golyshev, and Iritani holds for that Bott-Samelson variety.

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Camron Withrow. 2018-08-28. The moment graph for Bott-Samelson varieties and applications to quantum cohomology. https://arxiv.org/abs/1808.09302

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