English

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

Algebraic Geometry 2018-08-29 v1

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 AA. We also show the conjecture O\mathcal{O} of Galkin, Golyshev, and Iritani holds for that Bott-Samelson variety.

Keywords

Cite

@article{arxiv.1808.09302,
  title  = {The moment graph for Bott-Samelson varieties and applications to quantum cohomology},
  author = {Camron Withrow},
  journal= {arXiv preprint arXiv:1808.09302},
  year   = {2018}
}

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28 pages