Symplectic geometry of Frobenius structures

dc.creatorGivental, Alexander
dc.date2003-05-28
dc.date.accessioned2026-07-07T04:58:21Z
dc.date.available2026-07-07T04:58:21Z
dc.descriptionThe purpose of the notes is to reiterate and expand the viewpoint, outlined in the paper math.AG/0110142 of T. Coates and the author, which recasts the concept of Frobenius manifold in terms of linear symplectic geometry and exposes the role of the twisted loop group L^{(2)}GL_N of hidden symmetries. New applications include a several line proof of the genus 0 Virasoro constraints and the quantum Hirzebruch-Riemann-Roch theorem in the theory of cobordism-valued Gromov-Witten invariants.
dc.description22 pages
dc.identifierhttps://arxiv.org/abs/math/0305409
dc.identifierhttp://arxiv.org/abs/math/0305409
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/67605
dc.subjectAlgebraic Geometry
dc.subject14N35; 53D45; 55N22
dc.titleSymplectic geometry of Frobenius structures
dc.typetext

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