Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Iterated distributive laws   We give a framework for combining $n$ monads on the same category via
distributive laws satisfying Yang-Baxter equations, extending the classical
result of Barr and Wells which combines two monads via one distributive law. We
show that this corresponds to iterating $n$-times the process of taking the
2-category of monads in a 2-category, extending the result of Street
characterising distributive laws. We show that this framework can be used to
construct the free strict $n$-category monad on $n$-dimensional globular sets;
we first construct for each $i$ a monad for composition along bounding
$i$-cells, and then we show that the interchange laws define distributive laws
between these monads, satisfying the necessary Yang-Baxter equations.

27
The categories of this paper are: comp-gas
14
The categories of this paper are: math-ph
35
The categories of this paper are: mtrl-th
22
The categories of this paper are: chao-dyn
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The categories of this paper are: funct-an
17
The categories of this paper are: q-fin
28
The categories of this paper are: alg-geom
11
The categories of this paper are: hep-lat
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The categories of this paper are: dg-ga
1
The categories of this paper are: cs
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The categories of this paper are: nlin
3
The categories of this paper are: physics
13
The categories of this paper are: quant-ph
16
The categories of this paper are: stat
34
The categories of this paper are: chem-ph
15
The categories of this paper are: nucl-ex