Vector bundles on degenerations of elliptic curves and Yang-Baxter equations
Igor Burban, Bernd Kreußler
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
Catégories:
Année:
2012
Editeur::
Amer Mathematical Society
Langue:
english
Pages:
144
ISBN 10:
0821872923
ISBN 13:
9780821872925
Collection:
Memoirs of the American Mathematical Society 1035
Fichier:
PDF, 1.18 MB
IPFS:
,
english, 2012