Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Paving Hessenberg varietes by affines   Regular nilpotent Hessenberg varieties form a family of subvarieties of the
flag variety arising in the study of quantum cohomology, geometric
representation theory, and numerical analysis. In this paper we construct a
paving by affines of regular nilpotent Hessenberg varieties for all classical
types, generalizing results of de Concini-Lusztig-Procesi and Kostant. This
paving is in fact the intersection of a particular Bruhat decomposition with
the Hessenberg variety. The nonempty cells of the paving and their dimensions
are identified by combinatorial conditions on roots. We use the paving to prove
these Hessenberg varieties have no odd-dimensional homology.

30
The categories of this paper are: q-alg
28
The categories of this paper are: alg-geom
34
The categories of this paper are: chem-ph
4
The categories of this paper are: cond-mat
22
The categories of this paper are: chao-dyn
23
The categories of this paper are: solv-int
13
The categories of this paper are: quant-ph
31
The categories of this paper are: ao-sci
10
The categories of this paper are: q-bio
7
The categories of this paper are: hep-th
21
The categories of this paper are: adap-org
26
The categories of this paper are: bayes-an
11
The categories of this paper are: hep-lat
16
The categories of this paper are: stat
20
The categories of this paper are: acc-phys
35
The categories of this paper are: mtrl-th