Vector Bundles on Degenerations of Elliptic Curves and Yang-Baxter Equations

(Memoirs of the American Mathematical Society)

5bb72995a5782.jpg Author Igor Burban
Isbn 9780821872925
File size 1.18MB
Year 2012
Pages 131
Language English
File format PDF
Category Mathematics

Book Description:

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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