The global topological meaning of cocycles in a Gauge group |
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| Authors: | Bo-Yu Hou Bo-Yuan Hou Pei Wang |
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| Affiliation: | (1) Institute of Modern Physics, Northwest University, Xian, China;(2) Physics Department, Neimonggu University, Huhehaote, China;(3) Physics Department, Sichuan University, Chengdu, China |
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| Abstract: | This Letter shows explicitly that the descent sequence of cocycles in a gauge group realizes the  ech-de Rham double complex. Meanwhile the ech complex corresponds to finite gauge transformations. This Letter also shows how the indices of each order of cocycles characterizes the obstructions on overlapping spheres in different dimensions and how these indices are equal to a common one. |
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