The age grading and the Chen-Ruan cup product

Details The age grading and the Chen-Ruan cup product The age grading and the Chen-Ruan cup product

2007-06-28

arxiv.org/abs/0706.4326v3

Bull. London Math. Soc. (2010) 42(5): 868-878

Mathematics

Algebraic Topology

11 pages. Example added and minor errors corrected

Scientific paper

10.1112/blms/bdq043

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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