Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Restrictions on some special generic maps on $6$-dimensional closed and
  simply-connected manifolds   The class of special generic maps is a natural class of smooth maps
containing Morse functions on spheres with exactly two singular points and the
canonical projections of unit spheres. We present new restrictions on such maps
on 6-dimensional closed and simply-connected manifolds. Spheres which are not
diffeomorphic to unit spheres do not admit such maps whose codimensions are
negative in considerable cases. They restrict the homeomorphism and the
diffeomorphism types of the manifolds in general. On the other hands, some
elementary manifolds admit special generic maps into suitable Euclidean spaces:
manifolds represented as connected sums of products of unit spheres are of such
examples. This motivates us to study the existence of special generic maps on
elementary manifolds such as projective spaces and some closed and
simply-connected manifolds.

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The categories of this paper are: q-alg
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The categories of this paper are: atom-ph
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The categories of this paper are: dg-ga
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The categories of this paper are: cmp-lg
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The categories of this paper are: chem-ph
9
The categories of this paper are: nlin
0
The categories of this paper are: hep-ph
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The categories of this paper are: comp-gas
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The categories of this paper are: plasm-ph
6
The categories of this paper are: astro-ph
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The categories of this paper are: nucl-ex
5
The categories of this paper are: gr-qc
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The categories of this paper are: chao-dyn
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The categories of this paper are: mtrl-th
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The categories of this paper are: adap-org
8
The categories of this paper are: hep-ex