Open AccessCanonical equivariant extensions using classical Hodge theory
Author(s) -
Christopher Allday
Publication year - 2005
Publication title -
international journal of mathematics and mathematical sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 39
eISSN - 1687-0425
pISSN - 0161-1712
DOI - 10.1155/ijmms.2005.1277
Subject(s) - mathematics , equivariant map , symplectic geometry , hodge theory , pure mathematics , hamiltonian (control theory) , algebra over a field , cohomology , mathematical optimization
Lin and Sjamaar have used symplectic Hodge theory to obtain canonical equivariant extensions forHamiltonian actions on closed symplectic manifolds that have the strong Lefschetz property. Here weobtain canonical equivariant extensions much more generally by means of classical Hodge theory
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