Toric Symmetry Of CP3

Authors

Dagan Karp, Harvey Mudd CollegeFollow
Dhruv Ranganathan, Yale University
Paul Riggins '12, Harvey Mudd CollegesFollow
Ursula Whitcher, University of Wisconsin - Eau Claire

Student Co-author

HMC Undergraduate

Document Type

Article

Department

Mathematics (HMC)

Publication Date

9-23-2011

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.

Rights Information

© 2011 Advances in Theoretical and Mathematical Physics

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Terms of Use for work posted in Scholarship@Claremont.

Recommended Citation

D. Karp, D. Ranganathan, P. Riggins, U. Whitcher, Toric Symmetry of CP 3, Compositio Math, http://arXiv:1109.5157 [math.AG] (2011)