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    3. Vector Bundles on Degenerations of Elliptic Curves and Yang-Baxter Equations (Memoirs of the American Mathematical Society)

    Vector Bundles on Degenerations of Elliptic Curves and Yang-Baxter Equations (Memoirs of the American Mathematical Society)

    Posted By: Nice_smile)
    Date: 14 Feb 2017 18:06:29
    Vector Bundles on Degenerations of Elliptic Curves and Yang-Baxter Equations (Memoirs of the American Mathematical Society)

    Vector Bundles on Degenerations of Elliptic Curves and Yang-Baxter Equations (Memoirs of the American Mathematical Society) by Igor Burban
    English | 2012 | ISBN: 0821872923 | 131 Pages | PDF | 1.18 MB

    In this paper the authors introduce the notion of a geometric associative $r$-matrix attached to a genus one fibration with a section and irreducible fibres. It allows them to study degenerations of solutions of the classical Yang-Baxter equation using the approach of Polishchuk. They also calculate certain solutions of the classical, quantum and associative Yang-Baxter equations obtained from moduli spaces of (semi-)stable vector bundles on Weierstrass cubic curves.
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