Irregular connections and Kac-Moody root systems

Details Irregular connections and Kac-Moody root systems Irregular connections and Kac-Moody root systems

2008-06-05

arxiv.org/abs/0806.1050v1

Mathematics

Differential Geometry

Scientific paper

Some moduli spaces of irregular connections on the trivial bundle over the Riemann sphere will be identified with Nakajima quiver varieties. In particular this enables us to associate a Kac-Moody root system to such connections (yielding many isomorphisms between such moduli spaces, via the reflection functors for the corresponding Weyl group). The possibility of 'reading' a quiver in different ways also yields numerous isomorphisms between such moduli spaces, often between spaces of connections on different rank bundles and with different polar divisors. Finally some results of Crawley-Boevey on the existence of stable connections will be extended to this more general context.

Affiliated with

Also associated with

No associations

Rating

Irregular connections and Kac-Moody root systems 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 Irregular connections and Kac-Moody root systems, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Irregular connections and Kac-Moody root systems will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-171892