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

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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]
Copyright of Journal of Geometry & Physics is the property of Elsevier B.V. and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
Database: Engineering Source
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Header DbId: egs
DbLabel: Engineering Source
An: 69953597
AccessLevel: 6
PubType: Academic Journal
PubTypeId: academicJournal
PreciseRelevancyScore: 0
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  Data: Semi-stable vector bundles on elliptic curves and the associative Yang–Baxter equation
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  Data: <searchLink fieldCode="AR" term="%22Burban%2C+Igor%22">Burban, Igor</searchLink><i> burban@math.uni-bonn.de</i><br /><searchLink fieldCode="AR" term="%22Henrich%2C+Thilo%22">Henrich, Thilo</searchLink><i> henrich@math.uni-bonn.de</i>
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  Data: <searchLink fieldCode="JN" term="%22Journal+of+Geometry+%26+Physics%22">Journal of Geometry & Physics</searchLink>. Feb2012, Vol. 62 Issue 2, p312-329. 18p.
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  Data: <searchLink fieldCode="DE" term="%22Vector+bundles%22">Vector bundles</searchLink><br /><searchLink fieldCode="DE" term="%22Elliptic+curves%22">Elliptic curves</searchLink><br /><searchLink fieldCode="DE" term="%22Yang-Baxter+equation%22">Yang-Baxter equation</searchLink><br /><searchLink fieldCode="DE" term="%22Parameter+estimation%22">Parameter estimation</searchLink><br /><searchLink fieldCode="DE" term="%22Matrices+%28Mathematics%29%22">Matrices (Mathematics)</searchLink><br /><searchLink fieldCode="DE" term="%22Holomorphic+functions%22">Holomorphic functions</searchLink><br /><searchLink fieldCode="DE" term="%22Mathematical+complexes%22">Mathematical complexes</searchLink>
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  Label: Abstract
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  Data: 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]
– Name: AbstractSuppliedCopyright
  Label:
  Group: Ab
  Data: <i>Copyright of Journal of Geometry & Physics is the property of Elsevier B.V. and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
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RecordInfo BibRecord:
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        Value: 10.1016/j.geomphys.2011.11.001
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      – Code: eng
        Text: English
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        PageCount: 18
        StartPage: 312
    Subjects:
      – SubjectFull: Vector bundles
        Type: general
      – SubjectFull: Elliptic curves
        Type: general
      – SubjectFull: Yang-Baxter equation
        Type: general
      – SubjectFull: Parameter estimation
        Type: general
      – SubjectFull: Matrices (Mathematics)
        Type: general
      – SubjectFull: Holomorphic functions
        Type: general
      – SubjectFull: Mathematical complexes
        Type: general
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      – TitleFull: Semi-stable vector bundles on elliptic curves and the associative Yang–Baxter equation
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              Text: Feb2012
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              Y: 2012
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