Download A course in simple-homotopy theory by M.M. Cohen PDF GL(N, C). 38) Let CNIM denote the trivial complex vector bundle of rank N over M. Then the above element 9 can also be viewed as a section of Aut(CNIM)' Let d denote a trivial connection on CNIM. 42) The following lemma shows that the cohomology class determined by the closed form tr[(g-1dg)n] does not depend on smooth deformations of g: M -+ GL(N,C).

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