Open Access
August 2012 Toric symmetry of $\mathbb{CP}^3$
Dagan Karp, Dhruv Ranganathan, Paul Riggins, Ursula Whitcher
Adv. Theor. Math. Phys. 16(4): 1291-1314 (August 2012).


We exhaustively analyze the toric symmetries of $\mathbb{CP}^3$ and its toric blowups. Our motivation is to study toric symmetry as a computational technique in Gromov–Witten (GW) theory and Donaldson–Thomas (DT) theory. We identify all non-trivial toric symmetries. The induced nontrivial isomorphisms lift and provide new symmetries at the level of GW Theory and DT 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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Dagan Karp. Dhruv Ranganathan. Paul Riggins. Ursula Whitcher. "Toric symmetry of $\mathbb{CP}^3$." Adv. Theor. Math. Phys. 16 (4) 1291 - 1314, August 2012.


Published: August 2012
First available in Project Euclid: 20 August 2014

zbMATH: 1284.14075
MathSciNet: MR3053971

Rights: Copyright © 2012 International Press of Boston

Vol.16 • No. 4 • August 2012
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