Errata to “Symplectic structures on fiber bundles” [Topology 42 (2003) 309–347]
نویسندگان
چکیده
منابع مشابه
Symplectic structures on fiber bundles
Let π : P → B be a locally trivial fiber bundle over a connected CW complex B with fiber equal to the closed symplectic manifold (M,ω). Then π is said to be a symplectic fiber bundle if its structural group is the group of symplectomorphisms Symp(M,ω), and is called Hamiltonian if this group may be reduced to the group Ham(M,ω) of Hamiltonian symplectomorphisms. In this paper, building on prior...
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This note corrects some typos and some errors in Introduction to Symplectic Topology (2nd edition, OUP 1998). In particular, in the latter book the statements of Theorem 6.36 (about Hamiltonian bundles) and Exercise 10.28 (about the structure of the group of symplectomorphisms of an open Riemann surface) need some modification. We thank everyone who pointed out these errors, and in particular K...
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Consider a fiber bundle in which the total space, the base space and the fiber are all symplectic manifolds. We study the relations between the quantization of these spaces. In particular, we discuss the geometric quantization of a vector bundle, as oppose to a line bundle, over the base space that recovers the standard geometric quantization of the total space.
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The most substantive change here is to the proof of Theorem 6.2.6 (ii): the previous argument did not handle transversality quite correctly. We have listed some other smaller corrections. We intend to update this file from time to time and so welcome further comments. p 20, line 12–14: Replace the sentence beginning: A smooth map u : Σ → M is conformal . . . by: “Every J-holomorphic curve u : Σ...
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ژورنال
عنوان ژورنال: Topology
سال: 2005
ISSN: 0040-9383
DOI: 10.1016/j.top.2005.04.002