Skip to main content
1 of 2
Ali Fathi
  • 309
  • 1
  • 6

Deformation quantization of a closed Riemann surface with genus >1

Quantization of of an elliptic curve can be done in different ways. In C^*-algebraic version, one can start with the C^*-algebra of continuous functions on ordinary torus and then by inserting a deformation parameter \theta into the product and obtain a deformed non-commutaive C^*-algebra of functions on the quantum torus.

My question is:

Is there any natural way for deformation quantization of closed Riemann surfaces with higher genus in the above sense?

Ali Fathi
  • 309
  • 1
  • 6