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Symmetry, Integrability and Geometry: Methods and Applications, 2013, Volume 9, 005, 13 pp.
DOI: https://doi.org/10.3842/SIGMA.2013.005 (Mi sigma788) 		 
This article is cited in 4 scientific papers (total in 4 papers)

Upper Bounds for Mutations of Potentials

John Alexander Cruz Moralesa, Sergey Galkinbcde

a Department of Mathematics and Information Sciences, Tokyo Metropolitan University, Minami-Ohsawa 1-1, Hachioji, Tokyo 192-037, Japan
b Kavli Institute for the Physics and Mathematics of the Universe, The University of Tokyo, 5-1-5 Kashiwanoha, Kashiwa, 277-8583, Japan
c Independent University of Moscow, 11 Bolshoy Vlasyevskiy per., 119002, Moscow, Russia
d Moscow Institute of Physics and Technology, 9 Institutskii per., Dolgoprudny, 141700, Moscow Region, Russia
e Universität Wien, Fakultät für Mathematik, Garnisongasse 3/14, A-1090 Wien, Austria
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DOI: https://doi.org/10.3842/SIGMA.2013.005
Abstract: In this note we provide a new, algebraic proof of the excessive Laurent phenomenon for mutations of potentials (in the sense of [Galkin S., Usnich A., Preprint IPMU 10-0100, 2010]) by introducing to this theory the analogue of the upper bounds from [Berenstein A., Fomin S., Zelevinsky A., Duke Math. J. 126 (2005), 1–52].
Keywords: cluster algebras; Laurent phenomenon; mutation of potentials; mirror symmetry.
Received: May 31, 2012; in final form January 16, 2013; Published online January 19, 2013
Bibliographic databases:
Document Type: Article
MSC: 13F60; 14J33; 53D37
Language: English
Citation: John Alexander Cruz Morales, Sergey Galkin, “Upper Bounds for Mutations of Potentials”, SIGMA, 9 (2013), 005, 13 pp.
Citation in format AMSBIB
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\by John~Alexander~Cruz Morales, Sergey~Galkin
\paper Upper Bounds for Mutations of Potentials
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\papernumber 005
\totalpages 13
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    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Symmetry, Integrability and Geometry: Methods and Applications
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