Topological expansion of the Bethe ansatz, and non-commutative algebraic geometry

Understand

In this article, we define a non-commutative deformation of the "symplectic invariants" of an algebraic hyperelliptical plane curve.

• The necessary condition for our definition to make sense is a Bethe ansatz.
• The commutative limit reduces to the symplectic invariants, i.e.
• algebraic geometry, and thus we define non-commutative deformations of some algebraic geometry quantities.