Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Of Sullivan models, Massey products, and twisted Pontrjagin products   Associated to every connected, topological space $X$ there is a Hopf algebra
- the Pontrjagin ring of the based loop space of the configuration space of two
points in X. We prove that this Hopf algebra is not a homotopy invariant of the
space. We also exhibit interesting examples of H-spaces, which are homotopy
equivalent as spaces, which either lead to isomorphic rational Hopf algebras or
not, depending crucially on the existence of Whitehead products. Moreover, we
investigate a (naturally motivated) twisted version of these Pontrjagin rings
in the various aforementioned contexts. In all of these examples, Massey
products abound and play a key role.

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The categories of this paper are: adap-org
26
The categories of this paper are: bayes-an
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The categories of this paper are: acc-phys
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The categories of this paper are: q-alg
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The categories of this paper are: quant-ph
29
The categories of this paper are: funct-an
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The categories of this paper are: alg-geom
8
The categories of this paper are: hep-ex
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The categories of this paper are: gr-qc
4
The categories of this paper are: cond-mat
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The categories of this paper are: eess
9
The categories of this paper are: nlin
15
The categories of this paper are: nucl-ex
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The categories of this paper are: atom-ph
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The categories of this paper are: econ
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The categories of this paper are: mtrl-th