Frobenius action on l-adic Chen-Ruan cohomology

Mathematics – Algebraic Geometry

Scientific paper

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Updated to match version published in Communication in Number Theory and Physics, 2007. Conjecture 6.3 has been replaced with

Scientific paper

We extend the definition of the Chen-Ruan cohomology ring to smooth, proper,
tame, Deligne-Mumford stacks over fields of positive characteristic and prove
that a modified version of the Frobenius action preserves the product.

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