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The global topological meaning of cocycles in a Gauge group

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Abstract

This Letter shows explicitly that the descent sequence of cocycles in a gauge group realizes the Čech-de Rham double complex. Meanwhile the Čech 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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Authors and Affiliations

  1. Institute of Modern Physics, Northwest University, Xian, China

    Bo-Yu Hou

  2. Physics Department, Neimonggu University, Huhehaote, China

    Bo-Yuan Hou

  3. Physics Department, Sichuan University, Chengdu, China

    Pei Wang

Authors
  1. Bo-Yu Hou
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  2. Bo-Yuan Hou
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  3. Pei Wang
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Hou, BY., Hou, BY. & Wang, P. The global topological meaning of cocycles in a Gauge group. Lett Math Phys 11, 179–187 (1986). https://doi.org/10.1007/BF00400215

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  • DOI: https://doi.org/10.1007/BF00400215

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