A geometric boson-fermion correspondence
表示论
2011-07-13 v4 数学物理
代数几何
math.MP
摘要
The fixed points of a natural torus action on the Hilbert schemes of points in C^2 are quiver varieties of infinite type A. The equivariant cohomology of the Hilbert schemes and quiver varieties can be given the structure of bosonic and fermionic Fock spaces respectively. Then the localization theorem, which relates the equivariant cohomology of a space with that of its fixed point set, yields a geometric realization of the important boson-fermion correspondence.
引用
@article{arxiv.math/0508438,
title = {A geometric boson-fermion correspondence},
author = {Alistair Savage},
journal= {arXiv preprint arXiv:math/0508438},
year = {2011}
}
备注
17 pages; v2: Reference added; v3: Significant expository revision; v4: Small compilation error corrected