arXiv subjects

Camron Withrow

Publications and source records attributed to Camron Withrow.

2 recordsLinked to original sources

arXiv2020

Minimum Quantum Degrees for Isotropic Grassmannians in Types B and C

We give a formula in terms of Young diagrams to calculate the minimum positive integer $d$ such that $q^d$ appears in the quantum product of two Schubert classes for the submaximal isotropic Grassmannians in Types B and C. We do this by studying curve neighborhoods. We compute curve neighborhoods in several combinatorial models including $k$-strict partitions and a set of partitions where their inclusion is compatible with the Bruhat order.

math.AG↗

arXiv2018

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

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.

math.AG↗