◍wovepaper
SearchResearchersInstitutions
Sign in
nlin.SIJun 1, 2007
13
citations (OpenAlex)
authors
  • Yassir Ibrahim Dinar
institutions
  • University of Khartoum
arXiv abstractPDF
paper

On classification and construction of algebraic Frobenius manifolds

arXiv:0706.0960 · doi:10.1016/j.geomphys.2008.04.001

Abstract

We develop the theory of generalized bi-Hamiltonian reduction. Applying this theory to a suitable loop algebra we recover a generalized Drinfeld-Sokolov reduction. This gives a way to construct new examples of algebraic Frobenius manifolds.

20 pages

References in corpus (9)

  • Normal forms of hierarchies of integrable PDEs, Frobenius manifolds and Gromov - Witten invariants
  • Generalized Drinfeld-Sokolov Hierarchies II: The Hamiltonian Structures
  • Flat pencils of metrics and Frobenius manifolds
  • Regular Conjugacy Classes in the Weyl Group and Integrable Hierarchies
  • Differential geometry of the space of orbits of a Coxeter group
  • A Note on Fractional KdV Hierarchies
  • Bihamiltonian Reductions and W_n Algebras
  • Solutions to WDVV from generalized Drinfeld-Sokolov hierarchies
  • Finite orbits of the braid group action on sets of reflections

Cited by in corpus (4)

  • Frobenius manifolds from regular classical W-algebras
  • Classical r-matrix like approach to Frobenius manifolds, WDVV equations and flat metrics
  • Hurwitz numbers for reflection groups II: Parabolic quasi-Coxeter elements
  • On integrability of transverse Lie-Poisson structures at nilpotent elements
◍wovepaper

Papers, researchers and institutions, woven together.

Explore
  • Search
  • Researchers
  • Institutions
Account
  • Library
  • Chat
Data
  • arXiv.org
  • Semantic Scholar
  • OpenAlex
  • Latest RSS
AboutContactPrivacyDevelopersllms.txtopenapi.json
Not affiliated with arXiv. Researcher data from Semantic Scholar (ODC-BY) and OpenAlex.