Quantum cohomology and the periodic Toda lattice

Martin A. Guest, Takashi Otofuji

研究成果: Article査読

4 被引用数 (Scopus)

抄録

We describe a relation between the periodic one-dimensional Toda lattice and the quantum cohomology of the periodic flag manifold (an infinite-dimensional Kähler manifold). This generalizes a result of Givental and Kim relating the open Toda lattice and the quantum cohomology of the finite-dimensional flag manifold. We derive a simple and explicit "differential operator formula" for the necessary quantum products, which applies both to the finite-dimensional and to the infinite-dimensional situations.

本文言語English
ページ(範囲)475-487
ページ数13
ジャーナルCommunications in Mathematical Physics
217
3
DOI
出版ステータスPublished - 2001 3
外部発表はい

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics

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