研究者所属（当時） | 資格 | 氏名 | |
---|---|---|---|

（代表者） | 理工学術院 基幹理工学部 | 講師 | 大川 領 |

- 研究成果概要
We study moduli of framed sheaves on the projective plane, in particular, generating functions of

integrations over moduli spaces called Nekrasov function. In this year, we try to extend to two cases,

1. other surface, 2. K-theory version.

In 1. , we computed integrations of other cohomology classes for the minimal resolution of

A1 singularity. Although we have not checked rigourously, this could implies that we can construct

Painlvé tau function by Fourier transform of Nekrasov functions. Furthermore, towerd other ADE

singularities we study finite type quiver varieties as toy models. As a result, we understand that

general wall-crossing phenomena are reduced to more fundamental cases.

In our case, we study affine quiver varieties, and the minimal resolution of A1 singularity

seems fundamental. Hence it seems possible to extend previous results to other ADE singularities

soon.

In 2. , we also studied finite type quiver varieties, and also discussed other methods with physicists.