The age grading and the Chen-Ruan cup product
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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.
Original language | English |
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Journal | Bulletin of the London Mathematical Society |
Volume | 42 |
Issue number | 5 |
Pages (from-to) | 868-878 |
ISSN | 0024-6093 |
DOIs | |
Publication status | Published - 18 Jun 2010 |
Bibliographical note
Keywords: math.AT; math.AG
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ID: 22524079