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Orbifold quantum D-modules associated to weighted projective spaces
We construct in an abstract fashion the orbifold quantum cohomology (quantum
orbifold cohomology) of weighted projective space, starting from the orbifold
quantum differential operator. We obtain the product, grading, and intersection
form by making use of the associated self-adjoint D-module and the Birkhoff
factorization procedure. The method extends to the more difficult case of Fano
hypersurfaces in weighted projective space. However, in contrast to the case of
weighted projective space itself or a Fano hypersurface in projective space, a
"small Birkhoff cell" can appear in the construction; we give an example of
this phenomenon.Comment: 24 pages. The main modification in this (final) version is the
description of an ambiguity in the example of section 5, which was omitted
from the original versio
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