Quantum cohomology of the Hilbert scheme of points in the plane

Details Quantum cohomology of the Hilbert scheme of points in the plane Quantum cohomology of the Hilbert scheme of points in the plane

2004-11-09

arxiv.org/abs/math/0411210v2

Mathematics

Algebraic Geometry

Revised version. Results related to Jack symmetric functions moved to an upcoming paper

Scientific paper

We determine the ring structure of the equivariant quantum cohomology of the Hilbert scheme of points in the complex plane. The operator of quantum multiplication by the divisor class is a nonstationary deformation of the quantum Calogero-Sutherland many-body system. A relationship between the quantum cohomology of the Hilbert scheme and the Gromov-Witten/Donaldson-Thomas correspondence for local curves is proven.

Affiliated with

Also associated with

No associations

Rating

Quantum cohomology of the Hilbert scheme of points in the plane 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 Quantum cohomology of the Hilbert scheme of points in the plane, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Quantum cohomology of the Hilbert scheme of points in the plane will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-367714