Quantum cohomology and the periodic Toda lattice

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dc.creatorGuest, Martin A.
dc.creatorOtofuji, Takashi
dc.date1998-12-22
dc.date2000-02-16
dc.date.accessioned2026-07-07T05:27:20Z
dc.date.available2026-07-07T05:27:20Z
dc.descriptionWe describe a relation between the periodic one-dimensional Toda lattice and the quantum cohomology of the periodic flag manifold (an infinite-dimensional Kaehler 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.
dc.description17 pages, AMS-TeX. Minor corrections, several additional comments and references
dc.identifierhttps://arxiv.org/abs/math/9812127
dc.identifierhttp://arxiv.org/abs/math/9812127
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/77881
dc.subjectQuantum Algebra
dc.subjectDifferential Geometry
dc.titleQuantum cohomology and the periodic Toda lattice
dc.typetext

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