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.

In: Bulletin of the London Mathematical Society, Vol. 42, No. 5, 18.06.2010, p. 868-878.

Research output: Contribution to journal › Journal article › Research › peer-review

Harvard

A. Hepworth, R 2010, 'The age grading and the Chen-Ruan cup product', Bulletin of the London Mathematical Society, vol. 42, no. 5, pp. 868-878. https://doi.org/10.1112/blms/bdq043

APA

A. Hepworth, R. (2010). The age grading and the Chen-Ruan cup product. Bulletin of the London Mathematical Society, 42(5), 868-878. https://doi.org/10.1112/blms/bdq043

Vancouver

A. Hepworth R. The age grading and the Chen-Ruan cup product. Bulletin of the London Mathematical Society. 2010 Jun 18;42(5):868-878. https://doi.org/10.1112/blms/bdq043

Author

A. Hepworth, Richard. / The age grading and the Chen-Ruan cup product. In: Bulletin of the London Mathematical Society. 2010 ; Vol. 42, No. 5. pp. 868-878.

Bibtex

@article{3f3fdb20d83511df825b000ea68e967b,
title = "The age grading and the Chen-Ruan cup product",
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.",
author = "{A. Hepworth}, Richard",
note = "Keywords: math.AT; math.AG",
year = "2010",
month = jun,
day = "18",
doi = "10.1112/blms/bdq043",
language = "English",
volume = "42",
pages = "868--878",
journal = "Bulletin of the London Mathematical Society",
issn = "0024-6093",
publisher = "Oxford University Press",
number = "5",

}

RIS

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