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Symplectic Origami Citation Accessed Terms of Use Detailed Terms Symplectic Origami
| Content Provider | Semantic Scholar |
|---|---|
| Author | Pires, Ana Rita |
| Copyright Year | 2011 |
| 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. |
| File Format | PDF HTM / HTML |
| Alternate Webpage(s) | http://dspace.mit.edu/openaccess-disseminate/1721.1/80289 |
| Language | English |
| Access Restriction | Open |
| Content Type | Text |
| Resource Type | Article |
