Introduction to homological geometry: part I

Details Introduction to homological geometry: part I Introduction to homological geometry: part I

2001-04-28

arxiv.org/abs/math/0104274v1

Mathematics

Differential Geometry

AMS-TeX, 51 pages

Scientific paper

This is an introduction to some of the analytic (or integrable systems) aspects of quantum cohomology which have attracted much attention during the last few years. The small quantum cohomology algebra, regarded as an example of a Frobenius manifold, is described in the original naive manner, without going into the technicalities of a rigorous definition. Then three well known analytic phenomena related to quantum cohomology are reviewed: the Landau-Ginzburg description of cohomology, the phase space of the Toda lattice, and the volume functional. The emphasis is on concrete examples, with the intention of alerting a wider audience to the interesting potential of this area. In part 2, the quantum differential equations will be studied in the same way.

Affiliated with

Also associated with

No associations

Rating

Introduction to homological geometry: part I 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 Introduction to homological geometry: part I, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Introduction to homological geometry: part I will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-298278