Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Residues in group completions and the Cech cohomology of BG   Let $G$ be a connected affine algebraic group over $\mathbb{C}$, $G \to X$ be
an open immersion of $G$-varieties, $Z = X-G$ and $i: Z \to X$ be the
inclusion. Let $\alpha \in H^*(G,\mathbb{C})$ be primitive. We give a method to
compute the image of $\alpha$ in $H^*(Z, i^!\mathbb{C}_X)$, using a lift of
$\alpha$ along the first edge map of the \v{C}ech spectral sequence for
$H^*(BG, \mathbb{C})$. We apply it to the wonderful compactification of a
centerless semisimple group $G$.

30
The categories of this paper are: q-alg
4
The categories of this paper are: cond-mat
31
The categories of this paper are: ao-sci
27
The categories of this paper are: comp-gas
11
The categories of this paper are: hep-lat
15
The categories of this paper are: nucl-ex
36
The categories of this paper are: cmp-lg
22
The categories of this paper are: chao-dyn
9
The categories of this paper are: nlin
33
The categories of this paper are: plasm-ph
26
The categories of this paper are: bayes-an
7
The categories of this paper are: hep-th
1
The categories of this paper are: cs
10
The categories of this paper are: q-bio
29
The categories of this paper are: funct-an
12
The categories of this paper are: nucl-th