Toric Symmetry of CP^3

Details Toric Symmetry of CP^3 Toric Symmetry of CP^3

2011-09-23

arxiv.org/abs/1109.5157v1

Mathematics

Algebraic Geometry

20 pages, many figures. Comments welcome!

Scientific paper

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.

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