English

Lecture notes on quantum cohomology of the flag manifold

Quantum Algebra 2007-05-23 v1 Algebraic Geometry Combinatorics

Abstract

This is an exposition of some recent developments related to the object in the title, particularly the combinatorial computation of the (genus 0) Gromov-Witten invariants of the flag manifold and the quadratic algebra approach. The notes are largely based on my joint papers with S.Gelfand, A.N.Kirillov, and A.Postnikov. This is by no means an exhaustive survey of the subject, but rather a casual introduction to its combinatorial aspects.

Cite

@article{arxiv.math/9912130,
  title  = {Lecture notes on quantum cohomology of the flag manifold},
  author = {Sergey Fomin},
  journal= {arXiv preprint arXiv:math/9912130},
  year   = {2007}
}

Comments

9 pages