Klimek S., Lesniewski A.
Quantum Riemann Surfaces for Arbitrary Planck's Constant
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ABSTRACT.  We continue our study of quantum Riemann surfaces initiated in
[1, 2, 3]. We construct a one parameter family of deformations
of compact Riemann surfaces of genus $g\geq 2$. Our construction
does not require any discretness condition on the value of Planck's
constant. It coincides with the construction of [2] in the case
when Planck's constant assumes the discrete set of values dictated
by geometric quantization.