CALABI QUASIMORPHISMS FOR THE SYMPLECTIC BALL

By P. Biran, Michael Entov, L. Polterovich. 2003

94 citations recorded by the source corpus.

We prove that the group of compactly supported symplectomorphisms of the standard symplectic ball admits a continuum of linearly independent real-valued homogeneous quasimorphisms. In addition thes...

Subfields: Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/edab4517cb97f8801ce186a339a0fd05ca71a3ac

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In Geometry and Topology

1. Anna Wienhard
2. Y. Ostrover
3. F. Zapolsky
4. A. Iozzi
5. Michael Entov
6. L. Polterovich
7. M. Burger
8. Yong-Geun Oh

In Mathematical Physics

1. Anna Wienhard
2. Y. Ostrover
3. A. Iozzi
4. Michael Entov
5. M. Burger
6. L. Polterovich
7. F. Zapolsky
8. Yong-Geun Oh

Citations in the corpus

• Quasi-morphisms and the Poisson bracket (2006, background): “It is an immediate consequence of [3, 6] that Π(F,G) = 1.”
• Bounded differential forms, generalized Milnor–Wood inequality and an application to deformation rigidity (2007, background): “which encodes subtle properties of G of algebraic and geometric nature, see [1], [28], [43], [44], [18], [19, x V.13], [12], (see also [7], [8], [34], [48], [2], [26], [27], [25], [ 3 ], [39], [38] in relation with the existence of quasimorphisms).”
• Calabi quasi-morphisms for some non-monotone symplectic manifolds (2005, background): “Recently, Biran, Entov and Polterovich [6], and Entov and Polterovich [10] established several other applications of the existence of a Calabi quasi-morphism regarding rigidity of intersections in symplectic manifolds.”
• Displacing Lagrangian toric fibers via probes (2009, background): “e such that there is a family of functions H t: M!R;t2 [0;1];whose associated ow ˚ t;t2[0;1];has the property that ˚ 1(L u) \L u= ;. This question was rst considered (from dierent points of view) in [2] and [3]. Biran, Entov and Polterovich showed in [2] that if the quantum homology QH (M) (taken wi”
• A review of matrix scaling and Sinkhorn's normal form for matrices and positive maps (2016, methodology): “This is a problem of symplectic topology in disguise and can be solved using a theorem in Biran, Entov, and Polterovich 2004.”
• Maximal Representations of Surface Groups: Symplectic Anosov Structures (2005, background): “1(3) and by Goldman’s result, we give the following”
• Quasi-states and symplectic intersections (2004, background): “[13]): show that L is a stem (see Definition 2.”