A Combinatorial Study on Quiver Varieties

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2017
• Main Authors: Fujii, S., Minabe, S.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2017
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/148584
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: A Combinatorial Study on Quiver Varieties / S. Fujii, S. Minabe // Symmetry, Integrability and Geometry: Methods and Applications. — 2017. — Т. 13. — Бібліогр.: 58 назв. — англ.

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....