Differential equations aspects of quantum cohomology

Details Differential equations aspects of quantum cohomology Differential equations aspects of quantum cohomology

2009-06-03

arxiv.org/abs/0906.0641v1

Mathematics

Differential Geometry

26 pages

Scientific paper

The quantum differential equations can be regarded as examples of equations with certain universal properties which are of wider interest beyond quantum cohomology itself. We present this point of view as part of a framework which accommodates the KdV equation and other well known integrable systems. In the case of quantum cohomology, the theory is remarkably effective in packaging geometric information; we illustrate this with reference to simple examples of Gromov-Witten invariants, variations of Hodge structure, the Reconstruction Theorem, and the Crepant Resolution Conjecture. Based on lectures given at the summer school "Geometric and Topological Methods for Quantum Field Theory", Villa de Leyva, 2007.

Affiliated with

Also associated with

No associations

Rating

Differential equations aspects of quantum cohomology 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 Differential equations aspects of quantum cohomology, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Differential equations aspects of quantum cohomology will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-193602