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The age grading and the Chen-Ruan cup product

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  • Richard A. Hepworth
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.
OriginalsprogEngelsk
TidsskriftBulletin of the London Mathematical Society
Vol/bind42
Udgave nummer5
Sider (fra-til)868-878
ISSN0024-6093
DOI
StatusUdgivet - 18 jun. 2010

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