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Symmetry, Integrability and Geometry: Methods and Applications, 2013, Volume 9, 032, 33 pp.
DOI: https://doi.org/10.3842/SIGMA.2013.032 (Mi sigma815) 		 
This article is cited in 10 scientific papers (total in 10 papers)

On Orbifold Criteria for Symplectic Toric Quotients

Carla Farsia, Hans-Christian Herbigb, Christopher Seatonc

a Department of Mathematics, University of Colorado at Boulder, Campus Box 395, Boulder, CO 80309-0395, USA
b Centre for Quantum Geometry of Moduli Spaces, Ny Munkegade 118 Building 1530, 8000 Aarhus C, Denmark
c Department of Mathematics and Computer Science, Rhodes College, 2000 N. Parkway, Memphis, TN 38112, USA
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DOI: https://doi.org/10.3842/SIGMA.2013.032
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.
Keywords: singular symplectic reduction; invariant theory; orbifold.
Received: August 7, 2012; in final form April 2, 2013; Published online April 12, 2013
Bibliographic databases:
Document Type: Article
MSC: 53D20; 58A40; 13A50; 14L24; 57R18
Language: English
Citation: Carla Farsi, Hans-Christian Herbig, Christopher Seaton, “On Orbifold Criteria for Symplectic Toric Quotients”, SIGMA, 9 (2013), 032, 33 pp.
Citation in format AMSBIB
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    • This publication is cited in the following 10 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Symmetry, Integrability and Geometry: Methods and Applications
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