SU(2)-monopoles, curves with symmetries and Ramanujan's heritage

Autor: Braden, Harry W, Enol, Viktor Z
Zdroj: Sbornik: Mathematics; August 2010, Vol. 201 Issue: 6 p801-853, 53p
Abstrakt: We develop the Ercolani-Sinha construction of SU(2) monopoles for a five-parameter family of centred charge 3 monopoles. In particular we show how to solve the transcendental constraints arising on the spectral curve. For a class of symmetric curves the transcendental constraints become a number-theoretic problem and a recently proven identity of Ramanujan provides a solution. Bibliography: 36 titles.
Databáze: Supplemental Index