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Higher Descent Data as a Homotopy Limit
Published 13 Dec 2011 in math.AG | (1112.3072v5)
Abstract: We define the 2-groupoid of descent data assigned to a cosimplicial 2-groupoid and present it as the homotopy limit of the cosimplicial space gotten after applying the 2-nerve in each cosimplicial degree. This can be applied also to the case of $n$-groupoids thus providing an analogous presentation of "descent data" in higher dimensions.
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