Запис Детальніше

A Combinatorial Study on Quiver Varieties

Vernadsky National Library of Ukraine

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Title A Combinatorial Study on Quiver Varieties
 
Creator Fujii, S.
Minabe, S.
 
Description 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.
 
Date 2019-02-18T16:15:12Z
2019-02-18T16:15:12Z
2017
 
Type Article
 
Identifier A Combinatorial Study on Quiver Varieties / S. Fujii, S. Minabe // Symmetry, Integrability and Geometry: Methods and Applications. — 2017. — Т. 13. — Бібліогр.: 58 назв. — англ.
1815-0659
2010 Mathematics Subject Classification: 14C05; 14D21; 05A19; 05E10
DOI:10.3842/SIGMA.2017.052
http://dspace.nbuv.gov.ua/handle/123456789/148584
 
Language en
 
Relation Symmetry, Integrability and Geometry: Methods and Applications
 
Publisher Інститут математики НАН України