User:Elipra

In the mathematical discipline of differential geometry a quasifold is a generalization of a manifold and of an orbifold. Locally, it is given the quotient of a manifold modulo the smooth action of a countable group. Quasifolds where introduced by Elisa Prato in ... in order to extend the notion of symplectic toric manifolds and orbifolds to general simple polytopes, which are not necessarily rational.

== References ==


 * E. Prato, Simple Non-Rational Convex Polytopes via Symplectic Geometry, Topology 40 (2001), 961-975
 * F. Battaglia and E. Prato, Generalized Toric Varieties for Simple Nonrational Convex Polytopes, Internat. Math. Res. Notices 24 (2001), 1315-1337
 * F. Battaglia and E. Prato, Nonrational, Nonsimple Convex Polytopes in Symplectic Geometry, Electr. Res. Announc. Amer. Math. Soc. 8 (2002), 29-34
 * F. Battaglia, Convex Polytopes and Quasilattices from the Symplectic Viewpoint, Comm. Math. Phys. 269 (2007), 283-310
 * F. Battaglia, Complex Quotients by Nonclosed Groups and their Stratifications, C. R. Math. Rep. Acad. Sci. Canada 29 (2007), 33-40
 * F. Battaglia and E. Prato, The Symplectic Geometry of Penrose Rhombus Tilings, J. Symplectic Geom. 6 (2008), 139-158
 * F. Battaglia, Geometric Spaces from Arbitrary Convex Polytopes, International Journal of Mathematics, Vol. 23, Issue: 1, article ID: 1250013-0
 * F. Battaglia and E. Prato, The Symplectic Penrose Kite, Comm. Math. Phys. 299 (2010), 577-601
 * F. Battaglia and E. Prato, Ammann Tilings in Symplectic Geometry, arXiv:1004.2471v2 [math.SG] (2010)
 * F. Battaglia, Betti Numbers of the Geometric Spaces Associated to Nonrational Simple Convex Polytopes, Proc. Amer. Math. Soc. 139 (2011), 2309-2315
 * F. Battaglia and D. Zaffran, Foliations Modelling Nonrational Simplicial Toric Varieties, arXiv:1108.1637v1 [math.CV] (2011)