Yang-Mills instanton sheaves with higher topological charges

Abstract

We explicitly construct SL(2, C) (or SU(2) complex) Yang-Mills (YM) (weakly) three and four instanton sheaves on CP3. These results extend the previous construction of YM (weakly) instanton sheaves with topological charge two [S. H. Lai, J. C. Lee and I. H. Tsai, Yang-Mills instanton sheaves, Ann. Phys. 377 (2017) 446, arXiv: 1603.02860].