Symplectic Origami
Name
Guillemin_Symplectic Origami.pdf
Size
391.82 KB
Format
Adobe PDF
Checksum (MD5)
1d6ec542c8bc71f6d021f388c070a08e
Author(s)
Cannas da Silva, A.
Guillemin, Victor W.
Pissarra Pires, Ana Rita
Date Issued
December 2010
Journal
International Mathematics Research Notices
Publisher
Oxford University Press
Citation
Cannas da Silva, A., V. Guillemin, and A. R. Pires. “Symplectic Origami.” International Mathematics Research Notices (December 2, 2010).
Version
Author's final manuscript
Abstract
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.
Description
Author's final manuscript February 21, 2011
MIT Department
Massachusetts Institute of Technology. Department of Mathematics
Terms of Use
Creative Commons Attribution-Noncommercial-Share Alike 3.0
Persistent DSpace Link
DOI of Published Version
https://doi.org/10.1093/imrn/rnq241
