Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Subword complexes and edge subdivisions   For a finite Coxeter group, a subword complex is a simplicial complex
associated with a pair (Q, \pi), where Q is a word in the alphabet of simple
reflections, $\pi$ is a group element. We discuss the transformations of such a
complex induced by braid moves of the word Q. We show that under certain
conditions, this transformation is a composition of edge subdivisions and
inverse edge subdivisions. In such a case, we describe how the H- and the
\gamma-polynomials change under this operation. This case includes all braid
moves for groups with simply-laced Coxeter diagrams.

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The categories of this paper are: adap-org
30
The categories of this paper are: q-alg
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The categories of this paper are: acc-phys
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The categories of this paper are: dg-ga
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The categories of this paper are: quant-ph
32
The categories of this paper are: atom-ph
4
The categories of this paper are: cond-mat
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The categories of this paper are: alg-geom
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The categories of this paper are: ao-sci
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The categories of this paper are: nucl-ex
0
The categories of this paper are: hep-ph
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The categories of this paper are: econ
5
The categories of this paper are: gr-qc
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The categories of this paper are: cmp-lg
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The categories of this paper are: eess
7
The categories of this paper are: hep-th