Toric Symmetry of CP^3
Algebraic Geometry
2014-01-16 v1
Abstract
We exhaustively analyze the toric symmetries of CP^3 and its toric blowups. Our motivation is to study toric symmetry as a computational technique in Gromov-Witten theory and Donaldson-Thomas theory. We identify all nontrivial toric symmetries. The induced nontrivial isomorphisms lift and provide new symmetries at the level of Gromov-Witten Theory and Donaldson-Thomas Theory. The polytopes of the toric varieties in question include the permutohedron, the cyclohedron, the associahedron, and in fact all graph associahedra, among others.
Keywords
Cite
@article{arxiv.1109.5157,
title = {Toric Symmetry of CP^3},
author = {Dagan Karp and Dhruv Ranganathan and Paul Riggins and Ursula Whitcher},
journal= {arXiv preprint arXiv:1109.5157},
year = {2014}
}
Comments
20 pages, many figures. Comments welcome!