Low-dimensional bihamiltonian structures of topological type

Yassir Dinar*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review


We construct local bihamiltonian structures from classical W-algebras associated with non-regular nilpotent elements of regular semisimple type in Lie algebras of types A2 and A3. They form exact Poisson pencils and admit a dispersionless limit, and their leading terms define logarithmic or trivial Dubrovin-Frobenius manifolds. We calculate the corresponding central invariants, which are expected to be constants. In particular, we get Dubrovin-Frobenius manifolds associated with the focused Schrödinger equation and Hurwitz space M0;1,0 and the corresponding bihamiltonian structures of topological type.

Original languageEnglish
Article number033502
JournalJournal of Mathematical Physics
Issue number3
Publication statusPublished - Mar 1 2023
Externally publishedYes

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics

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