Menelaus relation and Fay's trisecant formula are associativity equations
Mathematical Physics
2015-05-13 v2 math.MP
Rings and Algebras
Exactly Solvable and Integrable Systems
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.
Keywords
Cite
@article{arxiv.0907.2023,
title = {Menelaus relation and Fay's trisecant formula are associativity equations},
author = {B. G. Konopelchenko},
journal= {arXiv preprint arXiv:0907.2023},
year = {2015}
}
Comments
Talk given at the Conference " Mathematics and Physics of Solitons and Integrable Systems", Dijon, 28.6-2.7, 2009. Minor misprints corrected