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

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Bibliographic Details
Title: Semi-stable vector bundles on elliptic curves and the associative Yang–Baxter equation
Authors: Burban, Igor burban@math.uni-bonn.de, Henrich, Thilo henrich@math.uni-bonn.de
Source: Journal of Geometry & Physics. Feb2012, Vol. 62 Issue 2, p312-329. 18p.
Subjects: Vector bundles, Elliptic curves, Yang-Baxter equation, Parameter estimation, Matrices (Mathematics), Holomorphic functions, Mathematical complexes
Abstract: Abstract: In this paper, we study unitary solutions of the associative Yang–Baxter equation (AYBE) with spectral parameters. We show that to each point from the upper half-plane and an invertible matrix with complex coefficients, one can attach a solution of AYBE with values in , depending holomorphically on and . Moreover, we compute some of these solutions explicitly. [Copyright &y& Elsevier]
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Database: Engineering Source
Description
Abstract:Abstract: In this paper, we study unitary solutions of the associative Yang–Baxter equation (AYBE) with spectral parameters. We show that to each point from the upper half-plane and an invertible matrix with complex coefficients, one can attach a solution of AYBE with values in , depending holomorphically on and . Moreover, we compute some of these solutions explicitly. [Copyright &y& Elsevier]
ISSN:03930440
DOI:10.1016/j.geomphys.2011.11.001