Triple Massey products on curves, Fay´s trisecant identity and tangents to the canonical embe

We show that Fay s trisecant identity follows from the nA_{infinity}-constraint between certain triple Massey products in the derived ncategory of coherent sheaves on a curve. We also deduce the matrix analogue of nthis identity that can be conveniently formulated using quasideterminants of nmatrices with non-commuting entries. On the other hand, looking at more spec..