Quantum Cohomology of Hypertoric Varieties
Michael B. McBreen, Daniel K. Shenfeld
TL;DR
This paper provides a comprehensive description of the equivariant quantum cohomology ring for smooth hypertoric varieties and introduces a mirror formula for their quantum differential equations.
Contribution
It offers the first complete characterization of quantum cohomology for hypertoric varieties and derives a mirror symmetry formula for their quantum differential equations.
Findings
Explicit description of the equivariant quantum cohomology ring.
Mirror formula for the quantum differential equation.
Abstract
We give a complete description of the equivariant quantum cohomology ring of any smooth hypertoric variety, and find a mirror formula for the quantum differential equation.
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