A New Cohomology Theory for Orbifold

Mathematics – Algebraic Geometry

Scientific paper

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Scientific paper

10.1007/s00220-004-1089-4

Motivated by orbifold string theory, we introduce orbifold cohomology group
for any almost complex orbifold and orbifold Dolbeault cohomology for any
complex orbifold. Then, we show that our new cohomology group satisfies
Poincare duality and has a natural ring structure. Some examples of orbifold
cohomology ring are computed.

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