Filtrations, factorizations and explicit formulae for harmonic maps

Details Filtrations, factorizations and explicit formulae for harmonic maps Filtrations, factorizations and explicit formulae for harmonic maps

2009-09-30

arxiv.org/abs/0909.5582v3

Mathematics

Differential Geometry

Some minor improvements and corrections made

Scientific paper

We use filtrations of the Grassmannian model to produce explicit algebraic formulae for all harmonic maps of finite uniton number from a Riemann surface, and so all harmonic maps from the 2-sphere, to the unitary group for a general class of factorizations by unitons. We show how these specialize to give explicit formulae for such harmonic maps to each of the classical compact Lie groups and their inner symmetric spaces - the nonlinear sigma-model of particle physics. Our methods also give an explicit Iwasawa decomposition of the algebraic loop group.

Affiliated with

Also associated with

No associations

Rating

Filtrations, factorizations and explicit formulae for harmonic maps does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Filtrations, factorizations and explicit formulae for harmonic maps, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Filtrations, factorizations and explicit formulae for harmonic maps will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-590040