The orbifold cohomology ring of simplicial toric stack bundles

By Yunfeng Jiang. 2005

66 citations recorded by the source corpus.

We introduce extended toric Deligne-Mumford stacks. We use an extended toric Deligne-Mumford stack to get the toric stack bundle and compute its orbifold Chow ring. Finally we generalize one result of Borisov, Chen and Smith so that the orbifold Chow ring of the toric stack bundle and the Chow ring of its crepant resolution are fibres of a flat family.

Subfields: Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/256b5055365dbf18ed1e8e750901ffe6cdeadf32

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Geometry and Topology

1. H. Iritani
2. Yunfeng Jiang
3. Tom Coates
4. Christopher Woodward
5. Bumsig Kim
6. Ionut Ciocan-Fontanine
7. Alexander Givental
8. Jeffrey Brown

In Mathematical Physics

1. H. Iritani
2. Tom Coates
3. Yunfeng Jiang
4. Christopher Woodward
5. Bumsig Kim
6. Ionut Ciocan-Fontanine

Citations in the corpus

• An integral structure in quantum cohomology and mirror symmetry for toric orbifolds (2009, background): “tive coarse moduli space. Note that the vectors bm′+1,...,bm do not appear as data of a stacky fan. The stacky fan together with these extra vectors gives an extended stacky fan in the sense of Jiang [52]. When we start from a stacky fan, our initial data can be given as the kernel of the map βby ch”
• Quantum Cohomology and Periods (2011, background): “They define an extended stacky fan in the sense of Jiang [39].”
• The Crepant Transformation Conjecture for Toric Complete Intersections (2014, background): “Jiang [55] introduced the notion of an extended stacky fan, which is a stacky fan with extra data.”