In mathematics, the monopole moduli space is a space parametrizing monopoles (solutions of the
Bogomolny equations
In mathematics, and especially gauge theory, the Bogomolny equation for magnetic monopoles is the equation
:F_A = \star d_A \Phi,
where F_A is the curvature of a connection A on a principal G-bundle over a 3-manifold M, \Phi is a section of the ...
). studied the
moduli space
In mathematics, in particular algebraic geometry, a moduli space is a geometric space (usually a scheme or an algebraic stack) whose points represent algebro-geometric objects of some fixed kind, or isomorphism classes of such objects. Such spac ...
for 2 monopoles in detail and used it to describe the scattering of monopoles.
See also
*
Hitchin system
In mathematics, the Hitchin integrable system is an integrable system depending on the choice of a complex reductive group and a compact Riemann surface, introduced by Nigel Hitchin in 1987. It lies on the crossroads of algebraic geometry, the th ...
References
*{{Citation , last1=Atiyah , first1=Michael , author1-link=Michael Atiyah , author2-link=Nigel Hitchin , last2=Hitchin , first2=Nigel , title=The geometry and dynamics of magnetic monopoles , publisher=
Princeton University Press
Princeton University Press is an independent publisher with close connections to Princeton University. Its mission is to disseminate scholarship within academia and society at large.
The press was founded by Whitney Darrow, with the financial su ...
, series=M. B. Porter Lectures , isbn=978-0-691-08480-0 , mr=934202 , year=1988
Differential geometry