Symmetry, Integrability and Geometry: Methods and Applications
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


SIGMA:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

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
Full-text PDF (439 kB) Citations (4)
References:
PDF
HTML
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
\Bibitem{CruGal13}
\by John~Alexander~Cruz Morales, Sergey~Galkin
\paper Upper Bounds for Mutations of Potentials
\jour SIGMA
\yr 2013
\vol 9
\papernumber 005
\totalpages 13
\mathnet{http://mi.mathnet.ru/sigma788}
\crossref{https://doi.org/10.3842/SIGMA.2013.005}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3033547}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000313819900001}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84872793900}
Linking options:
  • https://www.mathnet.ru/eng/sigma788
  • https://www.mathnet.ru/eng/sigma/v9/p5
    • This publication is cited in the following 4 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
    Statistics & downloads:
    Abstract page:4847
    Full-text PDF :72
    References:42
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024