For a complex vector bundle ,
(1)
is divisible by . Since the lower Chern classes vanish, the Newton identity gives
(2)
and the Chern character on an even-dimensional sphere is integral.

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  1. Chern character on an even-dimensional sphere is integral
  2. Chern character
  3. Splitting principle for complex vector bundles
  4. Topological K-theory
  5. Algebraic topology
  6. Geometry and topology
  7. Area of mathematics
  8. Mathematics
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