On Orbifold Criteria for Symplectic Toric Quotients

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Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)
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Symmetry, Integrability and Geometry: Methods and Applications, 2013, том 9
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dc.contributor.author	Farsi, C.
dc.contributor.author	Seaton, C.
dc.contributor.author	Herbig, H.-C
dc.date.accessioned	2019-02-19T19:06:21Z
dc.date.available	2019-02-19T19:06:21Z
dc.date.issued	2013
dc.identifier.citation	On Orbifold Criteria for Symplectic Toric Quotients / C. Farsi, H-C. Herbig, C. Seaton // Symmetry, Integrability and Geometry: Methods and Applications. — 2013. — Т. 9. — Бібліогр.: 31 назв. — англ.	uk_UA
dc.identifier.issn	1815-0659
dc.identifier.other	2010 Mathematics Subject Classification: 53D20; 58A40; 13A50; 14L24; 57R18
dc.identifier.other	DOI: http://dx.doi.org/10.3842/SIGMA.2013.032
dc.identifier.uri	http://dspace.nbuv.gov.ua/handle/123456789/149236
dc.description.abstract	We introduce the notion of regular symplectomorphism and graded regular symplectomorphism between singular phase spaces. Our main concern is to exhibit examples of unitary torus representations whose symplectic quotients cannot be graded regularly symplectomorphic to the quotient of a symplectic representation of a finite group, while the corresponding GIT quotients are smooth. Additionally, we relate the question of simplicialness of a torus representation to Gaussian elimination.	uk_UA
dc.description.sponsorship	The authors would like to thank Srikanth Iyengar, Luchezar Avramov, Markus Pflaum, Johan Martens, Karl-Heinz Fieseler, Jedrzej Sniatycki, Gerry Schwarz, Johannes Huebschmann, Michael J. Field and Graeme Wilkin for promptly answering questions, stimulating discussions, and moral support. We would also like to thank the referees for helpful suggestions and comments. C.F. would like to thank the University of Florence for hospitality during the completion of this manuscript. The research of H.-C. H. has been supported by the Center for the Quantum Geometry of Moduli spaces which is funded by the Danish National Research Foundation, and by the Department of Mathematics of the University of Nebraska at Lincoln. C.S. received support from the Center for the Quantum Geometry of Moduli spaces, a Rhodes College Faculty Development Endowment Grant, and a grant to Rhodes College from the Andrew W. Mellon Foundation.	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	On Orbifold Criteria for Symplectic Toric Quotients	uk_UA
dc.type	Article	uk_UA
dc.status	published earlier	uk_UA