Canonical equivariant extensions using classical Hodge theory
نویسندگان
چکیده
منابع مشابه
Canonical equivariant extensions using classical Hodge theory
In [4], Lin and Sjamaar show how to use symplectic Hodge theory to obtain canonical equivariant extensions of closed forms in Hamiltonian actions of compact connected Lie groups on closed symplectic manifolds which have the strong Lefschetz property. In this paper, we show how to do the same using classical Hodge theory. This has the advantage of applying far more generally. Our method makes us...
متن کامل. D G ] 2 4 Ju n 20 04 CANONICAL EQUIVARIANT EXTENSIONS USING CLASSICAL HODGE THEORY
Lin and Sjamaar have used symplectic Hodge theory to obtain canonical equivariant extensions for Hamiltonian actions on closed symplectic manifolds that have the strong Lefschetz property. Here we obtain canonical equivariant extensions much more generally by means of classical Hodge theory.
متن کاملm at h . D G ] 2 4 Ju n 20 04 CANONICAL EQUIVARIANT EXTENSIONS USING CLASSICAL HODGE THEORY
Lin and Sjamaar have used symplectic Hodge theory to obtain canonical equivariant extensions for Hamiltonian actions on closed symplectic manifolds that have the strong Lefschetz property. Here we obtain canonical equivariant extensions much more generally by means of classical Hodge theory.
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ژورنال
عنوان ژورنال: International Journal of Mathematics and Mathematical Sciences
سال: 2005
ISSN: 0161-1712,1687-0425
DOI: 10.1155/ijmms.2005.1277