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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Main Author: Christopher Allday
Format: Article
Language:English
Published: Wiley 2005-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Online Access:http://dx.doi.org/10.1155/IJMMS.2005.1277
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author Christopher Allday
author_facet Christopher Allday
author_sort Christopher Allday
collection DOAJ
description 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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institution Kabale University
issn 0161-1712
1687-0425
language English
publishDate 2005-01-01
publisher Wiley
record_format Article
series International Journal of Mathematics and Mathematical Sciences
spelling doaj-art-1e8a48bdcc3e4b9da3f00175c1d67f452025-02-03T01:30:52ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252005-01-01200581277128210.1155/IJMMS.2005.1277Canonical equivariant extensions using classical Hodge theoryChristopher Allday0Department of Mathematics, University of Hawaii, 2565 McCarthy Mall, Honolulu 96822-2273, HI, USALin 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.http://dx.doi.org/10.1155/IJMMS.2005.1277
spellingShingle Christopher Allday
Canonical equivariant extensions using classical Hodge theory
International Journal of Mathematics and Mathematical Sciences
title Canonical equivariant extensions using classical Hodge theory
title_full Canonical equivariant extensions using classical Hodge theory
title_fullStr Canonical equivariant extensions using classical Hodge theory
title_full_unstemmed Canonical equivariant extensions using classical Hodge theory
title_short Canonical equivariant extensions using classical Hodge theory
title_sort canonical equivariant extensions using classical hodge theory
url http://dx.doi.org/10.1155/IJMMS.2005.1277
work_keys_str_mv AT christopherallday canonicalequivariantextensionsusingclassicalhodgetheory