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On crossed homomorphisms on symplectic mapping class groups
Author(s):
Ryoji
Kasagawa
Journal:
Trans. Amer. Math. Soc.
360
(2008),
4815-4839.
MSC (2000):
Primary 53C15, 57S05;
Secondary 55R40, 57R20
Posted:
April 11, 2008
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Abstract:
For a symplectic manifold  with a relation  between Chern classes of it and the cohomology class of the symplectic form  , we construct a crossed homomorphism  on the symplectomorphism group of  with values in the cohomology group of  and show an application to the symplectic flux group. Moreover we see that  descends to a crossed homomorphism on the symplectic mapping class group of  and show a nontrivial example of it.
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Additional Information:
Ryoji
Kasagawa
Affiliation:
Department of Mathematics, College of Science and Technology, Nihon University, 1-8 Kanda, Surugadai, Chiyoda-ku, Tokyo 101-8308, Japan
Email:
kasagawa@math.cst.nihon-u.ac.jp
DOI:
10.1090/S0002-9947-08-04618-7
PII:
S 0002-9947(08)04618-7
Received by editor(s):
July 26, 2006
Posted:
April 11, 2008
Copyright of article:
Copyright
2008,
American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.
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