Menelaus relation and Fay's trisecant formula are associativity equations

Abstract

It is shown that the celebrated Menelaus relation and Fay's trisecant formula similar to the WDVV equation are associativity conditions for structure constants of certain three-dimensional algebra.

Talk given at the Conference " Mathematics and Physics of Solitons and Integrable Systems", Dijon, 28.6-2.7, 2009. Minor misprints corrected

References in corpus (3)

• Coisotropic deformations of associative algebras and dispersionless integrable hierarchies
• Quantum deformations of associative algebras and integrable systems
• Discrete integrable systems and deformations of associative algebras