Generating series in the cohomology of Hilbert schemes of points on surfaces

Details Generating series in the cohomology of Hilbert schemes of points on surfaces Generating series in the cohomology of Hilbert schemes of points on surfaces

2006-10-27

arxiv.org/abs/math/0610837v1

Mathematics

Algebraic Geometry

20 pages

Scientific paper

In the study of the rational cohomology of Hilbert schemes of points on a smooth surface, it is particularly interesting to understand the characteristic classes of the tautological bundles and the tangent bundle. In this note we pursue this study. We first collect all results appearing separately in the literature and prove some new formulas using T. Ohmoto's results on orbifold Chern classes on Hilbert schemes. We also explain the algorithmic counterpart of the topic: The cohomology space is governed by a vertex algebra that can be used to compute characteristic classes. We present an implementation of the vertex operators in the rewriting logic system {\sc Maude} and address observations and conjectures obtained after symbolic computations.

Affiliated with

Also associated with

No associations

Rating

Generating series in the cohomology of Hilbert schemes of points on surfaces 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 Generating series in the cohomology of Hilbert schemes of points on surfaces, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Generating series in the cohomology of Hilbert schemes of points on surfaces will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-169675