Quantum cohomology via vicious and osculating walkers

Details Quantum cohomology via vicious and osculating walkers Quantum cohomology via vicious and osculating walkers

2012-04-18

arxiv.org/abs/1204.4109v1

Physics

Mathematical Physics

32 pages,9 figures

Scientific paper

We relate the counting of rational curves intersecting Schubert varieties of
the Grassmannian to the counting of certain non-intersecting lattice paths on
the cylinder. These lattice paths form exactly solvable statistical mechanics
or quantum integrable models and are obtained from solutions to the Yang-Baxter
equation.

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