308 citations · 894 across the 32 of their papers we have counts for
5 papers · 1 filter
Tau Function Approach to Theta Functions
Atsushi Nakayashiki
We study theta functions of a Riemann surface of genus g from the view point of tau function of a hierarchy of soliton equations. We study two kinds of series expansions. One is th…
Discretization of Baker-Akhiezer Modules and Commuting Difference Operators in Several Discrete Variables
Andrey Mironov, Atsushi Nakayashiki
We introduce the notion of discrete Baker-Akhiezer (DBA) modules, which are modules over the ring of difference operators, as a certain discretization of Baker-Akhiezer modules whi…
On the Space of KdV Fields
Atsushi Nakayashiki
The space of functions A over the phase space of KdV-hierarchy is studied as a module over the ring D generated by commuting derivations. A D-free resolution of A is constructed by…
On Form Factors of SU(2) Invariant Thirring Model
Atsushi Nakayashiki, Yoshihiro Takeyama
Integral formulae for form factors of a large family of charged local operators in SU(2) invariant Thirring model are given extending Smirnov's construction of form factors of char…
Cohomologies of Affine Jacobi Varieties and Integrable Systems
A. Nakayashiki, F. A. Smirnov
We study the affine ring of the affine Jacobi variety of a hyper-elliptic curve. The matrix construction of the affine hyper-elliptic Jacobi varieties due to Mumford is used to cal…