EXPLICIT cocycle formulas on finite abelian groups with applications to braided linear Gr-categories and Dijkgraaf–Witten invariants
2019 ◽
Vol 150
(4)
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pp. 1937-1964
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AbstractWe provide explicit and unified formulas for the cocycles of all degrees on the normalized bar resolutions of finite abelian groups. This is achieved by constructing a chain map from the normalized bar resolution to a Koszul-like resolution for any given finite abelian group. With a help of the obtained cocycle formulas, we determine all the braided linear Gr-categories and compute the Dijkgraaf–Witten Invariants of the n-torus for all n.
2011 ◽
Vol 12
(01n02)
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pp. 125-135
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2015 ◽
Vol 92
(1)
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pp. 24-31
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2008 ◽
Vol 18
(02)
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pp. 243-255
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2007 ◽
Vol 17
(04)
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pp. 837-849
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