The Mumford relations and the moduli of rank three stable bundles

Details The Mumford relations and the moduli of rank three stable bundles The Mumford relations and the moduli of rank three stable bundles

1995-03-29

arxiv.org/abs/alg-geom/9503023v3

Mathematics

Algebraic Geometry

35 Pages, no figures LaTeX v 2.09

Scientific paper

We find a complete set of relations for the rational cohomology ring of the moduli space of rank three stable bundles over a Riemann surface of genus g and also show that the Pontryagin ring vanishes in degree 12g-8 and greater. The results are obtained by introducing some 'dual' Mumford relations and generalising Kirwan's proofs of the Mumford and Newstead conjectures in the rank two case. (In this revised version of the paper the vanishing degree of the Pontryagin ring of the moduli space has been improved from `in and above degree 12g-4' to `in and above degree 12g-8'. This degree is now known to be sharp.)

Affiliated with

Also associated with

No associations

Rating

The Mumford relations and the moduli of rank three stable bundles 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 The Mumford relations and the moduli of rank three stable bundles, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The Mumford relations and the moduli of rank three stable bundles will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-175534