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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 ...

Apologies for the vague title and soft question. According to Etingof, Igor Frenkel once suggested that there are three "levels" to Lie theory, which I guess could be given the following names: No ...

Perhaps this question is too general then I am sorry about this. My question is the following. Let $\pi$ be the fundamental group of a compact surface of genus $g$ (with if necessary $n$ punctures) ...

If $G$ is a simple complex Lie group, $T\subset B\subset G$ is a choice of Borel and maximal torus, and $W$ is the Weyl group, then 1) $H^{*}(G/B,K)=K[T^{\vee}]/(K[T^\vee]^W_{+})$ and 2) $K[T^\vee]^...

Let $X$ be an algebraic variety with a $\mathbb C^*$ action such that the fixpoints set is finite. By theorem 4.3 in the paper of Bialynicki-Birula "Some theorems on actions of algebraic groups", ...

I want to follow up a question from here (how to deduce version 1.a. from version 1). I know a version of decomposition theorem BBD: Version 1. Let $f:X\to Y$ be a (surjective) proper map of complex ...