The age grading and the Chen-Ruan cup product

Richard A. Hepworth

doi:10.1112/blms/bdq043

The age grading and the Chen-Ruan cup product

Richard A. Hepworth

Institut for Matematiske Fag

4 Citationer (Scopus)

111 Downloads (Pure)

Abstract

We prove that the obstruction bundle used to define the cup-product in Chen-Ruan cohomology has a simple representation-theoretic description. The key quantities in this description are the age gradings or degree-shifting numbers of the representations of the local groups of the orbifold. We obtain a Künneth 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.

Originalsprog	Engelsk
Tidsskrift	Bulletin of the London Mathematical Society
Vol/bind	42
Udgave nummer	5
Sider (fra-til)	868-878
ISSN	0024-6093
DOI	https://doi.org/10.1112/blms/bdq043
Status	Udgivet - okt. 2010

Adgang til dokumentet

10.1112/blms/bdq043

0706Indsendt manuskript, 127 KB

Citationsformater

@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 has a simple representation-theoretic description. The key quantities in this description are the age gradings or degree-shifting numbers of the representations of the local groups of the orbifold. We obtain a K{\"u}nneth 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 = oct,

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",

}

TY - JOUR

T1 - The age grading and the Chen-Ruan cup product

AU - A. Hepworth, Richard

N1 - Keywords: math.AT; math.AG

PY - 2010/10

Y1 - 2010/10

N2 - We prove that the obstruction bundle used to define the cup-product in Chen-Ruan cohomology has a simple representation-theoretic description. The key quantities in this description are the age gradings or degree-shifting numbers of the representations of the local groups of the orbifold. We obtain a Künneth 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 has a simple representation-theoretic description. The key quantities in this description are the age gradings or degree-shifting numbers of the representations of the local groups of the orbifold. We obtain a Künneth 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

SN - 0024-6093

VL - 42

SP - 868

EP - 878

JO - Bulletin of the London Mathematical Society

JF - Bulletin of the London Mathematical Society

IS - 5

ER -

The age grading and the Chen-Ruan cup product

Abstract

Adgang til dokumentet

Fingeraftryk

Citationsformater