Quasimaps, straightening laws, and quantum cohomology for the Lagrangian Grassmannian

Details Quasimaps, straightening laws, and quantum cohomology for the Lagrangian Grassmannian Quasimaps, straightening laws, and quantum cohomology for the Lagrangian Grassmannian

2008-06-04

arxiv.org/abs/0806.0834v1

Mathematics

Algebraic Geometry

30 pages

Scientific paper

The Drinfel'd Lagrangian Grassmannian compactifies the space of algebraic maps of fixed degree from the projective line into the Lagrangian Grassmannian. It has a natural projective embedding arising from the canonical embedding of the Lagrangian Grassmannian. We show that the defining ideal of any Schubert subvariety of the Drinfel'd Lagrangian Grassmannian is generated by polynomials which give a straightening law on an ordered set. Consequentially, any such subvariety is Cohen-Macaulay and Koszul. The Hilbert function is computed from the straightening law, leading to a new derivation of certain intersection numbers in the quantum cohomology ring of the Lagrangian Grassmannian.

Affiliated with

Also associated with

No associations

Rating

Quasimaps, straightening laws, and quantum cohomology for the Lagrangian Grassmannian 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 Quasimaps, straightening laws, and quantum cohomology for the Lagrangian Grassmannian, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Quasimaps, straightening laws, and quantum cohomology for the Lagrangian Grassmannian will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-154937