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, 2017, Volume 13, 052, 28 pp.
DOI: https://doi.org/10.3842/SIGMA.2017.052 (Mi sigma1252) 		 
This article is cited in 8 scientific papers (total in 8 papers)

A Combinatorial Study on Quiver Varieties

Shigeyuki Fujiia, Satoshi Minabeb

a Accenture Strategy, 107-8672 Tokyo, Japan
b Department of Mathematics, Tokyo Denki University, 120-8551 Tokyo, Japan
Full-text PDF (611 kB) Citations (8)
References:
PDF
HTML
DOI: https://doi.org/10.3842/SIGMA.2017.052
Abstract: This is an expository paper which has two parts. In the first part, we study quiver varieties of affine $A$-type from a combinatorial point of view. We present a combinatorial method for obtaining a closed formula for the generating function of Poincaré polynomials of quiver varieties in rank 1 cases. Our main tools are cores and quotients of Young diagrams. In the second part, we give a brief survey of instanton counting in physics, where quiver varieties appear as moduli spaces of instantons, focusing on its combinatorial aspects.
Keywords: Young diagram; core; quotient; quiver variety; instanton.
Funding agency Grant number
Nagoya University
Japan Society for the Promotion of Science JP17K05228
Sumitomo Foundation
Throughout this work, the authors’ research was supported in part by COE program in mathematics at Nagoya University. During the revision in 2017, S.M. is supported in part by Grant for Basic Science Research Projects from the Sumitomo Foundation and JSPS KAKENHI Grand number JP17K05228.
Received: January 13, 2017; in final form June 30, 2017; Published online July 6, 2017
Bibliographic databases:
Document Type: Article
MSC: 14C05; 14D21; 05A19; 05E10
Language: English
Citation: Shigeyuki Fujii, Satoshi Minabe, “A Combinatorial Study on Quiver Varieties”, SIGMA, 13 (2017), 052, 28 pp.
Citation in format AMSBIB
\Bibitem{FujMin17}
\by Shigeyuki~Fujii, Satoshi~Minabe
\paper A Combinatorial Study on Quiver Varieties
\jour SIGMA
\yr 2017
\vol 13
\papernumber 052
\totalpages 28
\mathnet{http://mi.mathnet.ru/sigma1252}
\crossref{https://doi.org/10.3842/SIGMA.2017.052}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000405004700001}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85021942148}
Linking options:
  • https://www.mathnet.ru/eng/sigma1252
  • https://www.mathnet.ru/eng/sigma/v13/p52
    • This publication is cited in the following 8 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:129
    Full-text PDF :28
    References:24
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024