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arXiv · 0706.4326

The age grading and the Chen-Ruan cup product

Richard A. Hepworth
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Abstract

We prove that the obstruction bundle used to define the cup-product in Chen-Ruan cohomology is determined by the so-called `age grading' or `degree-shifting numbers'. Indeed, the obstruction bundle can be directly computed using the age grading. We obtain a Kunneth Theorem for Chen-Ruan cohomology as a direct consequence of an elementary property of the age grading, and explain how several other results - including associativity of the cup-product - can be proved in a similar way.

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Richard A. Hepworth. 2008-10-20. The age grading and the Chen-Ruan cup product. https://doi.org/10.1112/blms%2Fbdq043

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