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Semi-stable vector bundles on elliptic curves and the associative Yang-Baxter equation

Igor Burban, Thilo Henrich

Number 39
Authors Igor Burban
Thilo Henrich
Project C01
Year 2010

In this paper we study unitary solutions of the associative Yang--Baxter equation (AYBE) with spectral parameters. We show that to each point \tau from the upper half-plane and an invertible n \times n matrix B with complex coefficients one can attach a solution of AYBE with values in Mat_{n \times n}(\CC) \otimes Mat_{n \times n}(\CC), depending holomorphically on \tau and B. Moreover, we compute some of these solutions explicitly.

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