2016/10/03 by Rodrigo Pires dos Santos, Santos, Rodrigo Pires dos
Mathematics · Physics and Astronomy · #Advanced Differential Geometry Research #Algebraic and Geometric Analysis #Differential Geometry (math.DG) #FOS: Mathematics #Mathematics and Applications
paper · pdf · doi:10.48550/arxiv.1610.00563
openalex publication_date 2016/10/03 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Our approach to define monopoles is twistorial and we start by developing the twistor theory of R5, which is an analogue of the twistor theory for R3 developed by Hitchin. Using this, we describe a Hitchin-Ward transform for R5, that gives monopoles. In order for us to construct monopoles we make use of spectral curves. Then, using those spectral curves we find a new system of equations, analogue to the Nahm's equations.