English

Baxter equations and Deformation of Abelian Differentials

Mathematical Physics 2009-11-10 v1 math.MP

Abstract

In this paper the proofs are given of important properties of deformed Abelian differentials introduced earlier in connection with quantum integrable systems. The starting point of the construction is Baxter equation. In particular, we prove Riemann bilinear relation. Duality plays important role in our consideration. Classical limit is considered in details.

Keywords

Cite

@article{arxiv.math-ph/0302014,
  title  = {Baxter equations and Deformation of Abelian Differentials},
  author = {F. A. Smirnov},
  journal= {arXiv preprint arXiv:math-ph/0302014},
  year   = {2009}
}

Comments

28 pages, 1 figure

R2 v1 2026-07-22T16:22:31.920Z