Hypertoric geometry and Gromov-Witten theory
arXiv:1506.02065
Abstract
We study Gromov-Witten theory of hypertoric Deligne-Mumford stacks from two points of view. From the viewpoint of representation theory, we calculate the operator of small quantum product by a divisor, following \cite{BMO}, \cite{MO}, \cite{MS}. From the viewpoint of Lawrence toric geometry, we compare Gromov-Witten invariants of a hypertoric Deligne-Mumford stack with those of its associated Lawrence toric stack.
36 pages, comments are welcome, revised introduction, and corrected some typos
References in corpus (7)
- A Mirror Theorem for Toric Stacks
- Lectures on Nakajima's Quiver Varieties
- The Crepant Transformation Conjecture for Toric Complete Intersections
- K-Theoretic and Categorical Properties of Toric Deligne--Mumford Stacks
- Seidel Representations and Quantum Cohomology of Toric Orbifolds
- Note on orbifold Chow ring of semi-projective toric Deligne-Mumford stacks
- Strong regular embeddings of Deligne-Mumford stacks and hypertoric geometry