Canonical equivariant extensions using classical Hodge theory

2004/06/24 by Christopher Allday, Allday, Christopher
Mathematics · #57S15 #Differential Geometry (math.DG) #FOS: Mathematics #Symplectic Geometry (math.SG) #math.DG #math.SG #msc:57S15

paper · pdf · doi:10.48550/arxiv.math/0406490

10 pages

arxiv created 2004/06/24 · arxiv updated 2009/12/01

Abstract

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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