Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Higher divergence for nilpotent groups   The higher divergence of a metric space describes its isoperimetric behaviour
at infinity. It is closely related to the higher-dimensional Dehn functions,
but has more requirements to the fillings. We prove that these additional
requirements do not have an essential impact for many nilpotent Lie groups. As
a corollary, we obtain the higher divergence of the Heisenberg groups in all
dimensions.

35
The categories of this paper are: mtrl-th
12
The categories of this paper are: nucl-th
5
The categories of this paper are: gr-qc
16
The categories of this paper are: stat
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The categories of this paper are: acc-phys
11
The categories of this paper are: hep-lat
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The categories of this paper are: eess
6
The categories of this paper are: astro-ph
4
The categories of this paper are: cond-mat
18
The categories of this paper are: econ
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The categories of this paper are: ao-sci
15
The categories of this paper are: nucl-ex
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The categories of this paper are: bayes-an
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The categories of this paper are: comp-gas
17
The categories of this paper are: q-fin
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The categories of this paper are: supr-con