The Chern character of the vector bundle may be defined in means of characteristic classes or using differential geometric quantities. It can be shown that it satisfies the conditions $$ch(f^*E)=f^*ch(E)$$ $$ch(E \oplus F)=ch(E)+ch(F)$$ $$ch(E \otimes F)=ch(E) \cup ch(F).$$ Can anybody give me reference for the proof that these properties characterise Chern character uniquely?
2026-04-03 01:28:12.1775179692
Uniqueness of the Chern character
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