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

by Igor Burban and Bernd Kreussler

0 ratings • 0 reviews • 0 shelved
Book cover for Vector Bundles on Degenerations of Elliptic Curves and Yang-Baxter Equations
Shelve It

Bookhype may earn a small commission from qualifying purchases. Full disclosure.

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.
  • ISBN13 9780821872925
  • Publish Date 1 November 2012
  • Publish Status Active
  • Publish Country US
  • Imprint American Mathematical Society
  • Format Paperback
  • Pages 131
  • Language English