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I'm a little uncertain about the definitions for Chern roots Chern classes Chern characters From perusing several discussions, I gather that if one correlates the nomenclature with that of ...

If $M$ is a real smooth manifold of dimension $n+1$, by $D\in\mathbb{P}T^*M$ I mean a tangent hyperplane at some point of $M$. I denote by $b$ the canonical projection of the $(2n+1)$-dimensional ...