63 citations · 197 across the 18 of their papers we have counts for
19 papers
The Charge 2 Monopole via the ADHMN construction
H. W. Braden, V. Z. Enolski
Recently we have shown how one may use use integrable systems techniques to implement the ADHMN construction and obtain general analytic formulae for the charge n su(2) Euclidean m…
Multi-variable sigma-functions: old and new results
Victor Buchstaber, Victor Enolski, Dmitry Leykin
We consider multi-variable sigma function of a genus hyperelliptic curve as a function of two group of variables -jacobian variables and parameters of the curve. In the theta-f…
Thomae's Derivative Formulae for Trigonal Curves
Victor Enolski, Yaacov Kopeliovich, Shaul Zemel
In this paper we prove a Thomae derivative formula for trigonal curves admitting a non-singular affine model. This formula relates the derivatives of theta functions with rational…
Sato Grassmannian and Degenerate Sigma Function
Julia Bernatska, Victor Enolski, Atsushi Nakayashiki
The degeneration of the hyperelliptic sigma function is studied. We use the Sato Grassmannian for this purpose. A simple decomposition of a rational function gives a decomposition…
The Construction of Monopoles
H. W. Braden, V. Z. Enolski
We show that the Higgs and gauge fields for a BPS monopole may be constructed directly from the spectral curve without having to solve the gauge constraint needed to obtain the Nah…
Algebraic description of Jacobians isogeneous to certain Prym varieties with polarization (1,2)
V. Z. Enolski, Yu. N. Fedorov
For a class of non-hyperelliptic genus 3 curves C which are 2-fold coverings of elliptic curves E, we give an explicit algebraic description of all birationally non-equivalent genu…