A Combinatorial Study on Quiver Varieties
代数几何
2017-07-07 v3 高能物理 - 理论
组合数学
摘要
This is an expository paper which has two parts. In the first part, we study quiver varieties of affine -type from a combinatorial point of view. We present a combinatorial method for obtaining a closed formula for the generating function of Poincar\'e 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.
引用
@article{arxiv.math/0510455,
title = {A Combinatorial Study on Quiver Varieties},
author = {Shigeyuki Fujii and Satoshi Minabe},
journal= {arXiv preprint arXiv:math/0510455},
year = {2017}
}