Vector bundles from generalized pairs of cocycles

Vladimir Manuilov; Chao You

doi:10.1142/S0129167X1450061X

Vector bundles from generalized pairs of cocycles

Vladimir Manuilov
, Chao You^*

^*Corresponding author for this work

School of Mathematics

Research output: Contribution to journal › Article › peer-review

2 Scopus citations

Abstract

It is interesting to know, how far we can generalize the notion of a group-valued cocycle keeping the property to determine a bundle. We find a generalization for pairs of cocycles and show how these generalized pairs of cocycles can still determine vector bundles.

Original language	English
Article number	1450061
Journal	International Journal of Mathematics
Volume	25
Issue number	6
DOIs	https://doi.org/10.1142/S0129167X1450061X
State	Published - Jun 2014

Keywords

Almost representation
Vector bundle

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10.1142/S0129167X1450061X

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title = "Vector bundles from generalized pairs of cocycles",

abstract = "It is interesting to know, how far we can generalize the notion of a group-valued cocycle keeping the property to determine a bundle. We find a generalization for pairs of cocycles and show how these generalized pairs of cocycles can still determine vector bundles.",

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author = "Vladimir Manuilov and Chao You",

year = "2014",

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T1 - Vector bundles from generalized pairs of cocycles

AU - Manuilov, Vladimir

AU - You, Chao

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AB - It is interesting to know, how far we can generalize the notion of a group-valued cocycle keeping the property to determine a bundle. We find a generalization for pairs of cocycles and show how these generalized pairs of cocycles can still determine vector bundles.

KW - Almost representation

KW - Vector bundle

UR - https://www.scopus.com/pages/publications/84903546997

U2 - 10.1142/S0129167X1450061X

DO - 10.1142/S0129167X1450061X

M3 - 文章

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SN - 0129-167X

VL - 25

JO - International Journal of Mathematics

JF - International Journal of Mathematics

IS - 6

M1 - 1450061

ER -

Vector bundles from generalized pairs of cocycles

Abstract

Keywords

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