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

Igor Burban, Bernd Kreussler (Autoren)

Buch | Softcover

131 Seiten

2012
American Mathematical Society (Verlag)
978-0-8218-7292-5 (ISBN)

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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.

Reihe/Serie	Memoirs of the American Mathematical Society
Verlagsort	Providence
Sprache	englisch
Themenwelt	Mathematik / Informatik ► Mathematik ► Algebra
Themenwelt	Mathematik / Informatik ► Mathematik ► Geometrie / Topologie
ISBN-10	0-8218-7292-3 / 0821872923
ISBN-13	978-0-8218-7292-5 / 9780821872925
Zustand	Neuware