The age grading and the Chen-Ruan cup product
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The age grading and the Chen-Ruan cup product. / A. Hepworth, Richard.
I: Bulletin of the London Mathematical Society, Bind 42, Nr. 5, 18.06.2010, s. 868-878.Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › fagfællebedømt
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TY - JOUR
T1 - The age grading and the Chen-Ruan cup product
AU - A. Hepworth, Richard
N1 - Keywords: math.AT; math.AG
PY - 2010/6/18
Y1 - 2010/6/18
N2 - 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.
AB - 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.
U2 - 10.1112/blms/bdq043
DO - 10.1112/blms/bdq043
M3 - Journal article
VL - 42
SP - 868
EP - 878
JO - Bulletin of the London Mathematical Society
JF - Bulletin of the London Mathematical Society
SN - 0024-6093
IS - 5
ER -
ID: 22524079