Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Atiyah-Sutcliffe Conjectures for Almost Collinear Configurations and
  Some New Conjectures for Symmetric Functions   In 2001 Sir M. F. Atiyah formulated a conjecture (C1) and later with P.
Sutcliffe two stronger conjectures (C2) and (C3). These conjectures, inspired
by physics (spin-statistics theorem of quantum mechanics), are geometrically
defined for any configuration of points in the Euclidean three space. The
conjecture (C1) is proved for n=3,4 and for general n only for some special
configurations (M. F. Atiyah, M. Eastwood and P. Norbury, D. Djokovic).
  In this paper we shall explain some new conjectures for symmetric functions
which imply (C2) and (C3) for almost collinear configurations. Computations up
to n=6 are performed with a help of Maple and J. Stembridge's package SF for
symmetric functions. For n=4 the conjectures (C2) and (C3) we have also
verified for some infinite families of tetrahedra. This is a joint work with I.
Urbiha.
  Finally we mention that by minimizing a geometrically defined energy,
figuring in these conjectures, one gets a connection to some complicated
physical theories, such as Skyrmions and Fullerenes.

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The categories of this paper are: quant-ph
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The categories of this paper are: nlin
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The categories of this paper are: comp-gas
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The categories of this paper are: ao-sci
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The categories of this paper are: physics
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The categories of this paper are: eess
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The categories of this paper are: alg-geom
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The categories of this paper are: plasm-ph
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The categories of this paper are: dg-ga
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The categories of this paper are: q-bio
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The categories of this paper are: hep-ph
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The categories of this paper are: econ
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The categories of this paper are: nucl-th
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The categories of this paper are: chao-dyn
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The categories of this paper are: q-fin
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The categories of this paper are: chem-ph