A Combinatorial Study on Quiver Varieties

作者:Fujii Shigeyuki*; Minabe Satoshi
来源:Symmetry Integrability and Geometry-Methods and Applications, 2017, 13: 052.
DOI:10.3842/sigma.2017.052

摘要

This is an expository paper which has two parts. In the first part, we study quiver varieties of af fine A-type from a combinatorial point of view. We present a combinatorial method for obtaining a closed formula for the generating function of Poincare 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.

  • 出版日期2017

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