Author(s)Cannas da Silva, A.; Guillemin, Victor W.; Pissarra Pires, Ana Rita
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An origami manifold is a manifold equipped with a closed 2-form which is symplectic except on a hypersurface, where it is like the pullback of a symplectic form by a folding map and its kernel fibrates with oriented circle fibers over a compact base. We can move back and forth between origami and symplectic manifolds using cutting (unfolding) and radial blow-up (folding), modulo compatibility conditions. We prove an origami convexity theorem for Hamiltonian torus actions, classify toric origami manifolds by polyhedral objects resembling paper origami and discuss examples. We also prove a cobordism result and compute the cohomology of a special class of origami manifolds.
Author's final manuscript February 21, 2011
DepartmentMassachusetts Institute of Technology. Department of Mathematics
International Mathematics Research Notices
Oxford University Press
Cannas da Silva, A., V. Guillemin, and A. R. Pires. “Symplectic Origami.” International Mathematics Research Notices (December 2, 2010).
Author's final manuscript