ISSN:
1573-0530
Keywords:
projective structure
;
symplectic structure
;
quantization
;
Moyal–Weyl algebra
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mathematics
,
Physics
Notes:
Abstract Let X be a Riemann surface equipped with a projective structure. Let $$\mathcal{L}$$ be a square-root of the holomorphic cotangent bundle K X . Consider the symplectic form on the complement of the zero section of $$\mathcal{L}$$ obtained by pulling back the symplectic form on K X using the map ν ↦ ν⊗2. We show that this symplectic form admits a natural quantization. This quantization also gives a quantization of the complement of the zero section in K X equipped with the natural symplectic form.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1023/A:1007650202446
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