Yang-Mills Instanton Sheaves with Higher Topological Charges

TL;DR

This paper constructs explicit examples of higher topological charge Yang-Mills instanton sheaves on CP^3, extending previous work on lower charges and enriching the understanding of instanton sheaves in complex geometry.

Contribution

It provides explicit constructions of SL(2,C) Yang-Mills instanton sheaves with topological charges three and four, advancing the classification of such sheaves.

Findings

Explicit constructions of instanton sheaves with charges three and four

Extension of previous charge-two instanton sheaf results

Enhancement of the mathematical understanding of Yang-Mills instantons

Abstract

We explicitly construct SL(2,C) Yang-Mills (weakly) three and four instanton sheaves on CP^3. These results extend the previous construction of Yang-Mills (weakly) instanton sheaves with topological charge two [18].