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dc.contributor.author Karshon, Y.
dc.contributor.author Watts, J.
dc.date.accessioned 2019-02-15T18:43:13Z
dc.date.available 2019-02-15T18:43:13Z
dc.date.issued 2016
dc.identifier.citation Basic Forms and Orbit Spaces: a Diffeological Approach / Y. Karshon, J. Watts // Symmetry, Integrability and Geometry: Methods and Applications. — 2016. — Т. 12. — Бібліогр.: 30 назв. — англ. uk_UA
dc.identifier.issn 1815-0659
dc.identifier.other 2010 Mathematics Subject Classification: 58D19; 57R99
dc.identifier.other DOI:10.3842/SIGMA.2016.026
dc.identifier.uri http://dspace.nbuv.gov.ua/handle/123456789/147723
dc.description.abstract If a Lie group acts on a manifold freely and properly, pulling back by the quotient map gives an isomorphism between the differential forms on the quotient manifold and the basic differential forms upstairs. We show that this result remains true for actions that are not necessarily free nor proper, as long as the identity component acts properly, where on the quotient space we take differential forms in the diffeological sense. uk_UA
dc.description.sponsorship This work is partially supported by the Natural Sciences and Engineering Council of Canada. We are grateful to Patrick Iglesias-Zemmour for instructing us on dif feology and to Reyer Sjamaar for his inspiration, as well as to the anonymous referees for excellent suggestions that lead to a better organisation of the paper. uk_UA
dc.language.iso en uk_UA
dc.publisher Інститут математики НАН України uk_UA
dc.relation.ispartof Symmetry, Integrability and Geometry: Methods and Applications
dc.title Basic Forms and Orbit Spaces: a Diffeological Approach uk_UA
dc.type Article uk_UA
dc.status published earlier uk_UA

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