Orbifold mirror symmetry for complex tori
-- Adam McInroy, April 16, 2004

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Let X be a complex torus with a holomorphic
n-form Omega, and let pi: X --> B be a fibration by special
Lagrangian tori.  If G is a finite group acting on X preserving the complex
structure, Omega, and the fibration, we construct an inner local system
p arising from discrete torsion and a mirror map T on cohomology so that
for any local system beta, T is a mirror isomorphism from the Chen-Ruan
orbifold cohomology of X/G twisted by beta to that of X/G
twisted by beta + p.