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 $\mathcal{O}$ of Galkin, Golyshev, and Iritani holds for that Bott-Samelson variety.
- Publication:
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arXiv e-prints
- Pub Date:
- August 2018
- DOI:
- arXiv:
- arXiv:1808.09302
- Bibcode:
- 2018arXiv180809302W
- Keywords:
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- Mathematics - Algebraic Geometry;
- 14N35
- E-Print:
- 28 pages