A closed form for unitons

Details A closed form for unitons A closed form for unitons

1995-12-19

arxiv.org/abs/dg-ga/9512009v1

Mathematics

Differential Geometry

27 pages, amstex2.1 with ps figures using epsf macros

Scientific paper

Unitons, i.e.\ harmonic spheres in a unitary group, correspond to \lq uniton bundles\rq, i.e.\ holomorphic bundles over the compactified tangent space to the complex line with certain triviality and other properties. In this paper, we use a monad representation similar to Donaldson's representation of instanton bundles to obtain a simple formula for the unitons. Using the monads, we show that real triviality for uniton bundles is automatic. We interpret the uniton number as the `length' of a jumping line of the bundle, and identify the uniton bundles which correspond to based maps into Grassmannians. We also show that energy-$3$ unitons are $1$-unitons, and give some examples.

Affiliated with

Also associated with

No associations

Rating

A closed form for unitons 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 A closed form for unitons, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and A closed form for unitons will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-678109