Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Self-coincidences in higher codimensions   When can a map between manifolds be deformed away from itself? We describe a
(normal bordism) obstruction which is often computable and in general much
stronger than the classical primary obstruction in cohomology. In particular,
it answers our question completely in a large dimension range.
  As an illustration we give explicit criteria in three sample settings:
projections from Stiefel manifolds to Grassmannians, sphere bundle projections
and maps defined on spheres. In the first example a theorem of Becker and
Schultz concerning the framed bordism class of a compact Lie group plays a
central role; our approach yields also a very short geometric proof (included
as an appendix) of this result.

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The categories of this paper are: nlin
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The categories of this paper are: adap-org
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The categories of this paper are: cond-mat
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The categories of this paper are: acc-phys
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The categories of this paper are: comp-gas
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The categories of this paper are: chem-ph
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The categories of this paper are: funct-an
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The categories of this paper are: bayes-an
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The categories of this paper are: cs
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The categories of this paper are: plasm-ph
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The categories of this paper are: nucl-ex
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The categories of this paper are: hep-lat
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The categories of this paper are: q-bio
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The categories of this paper are: hep-th
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The categories of this paper are: alg-geom
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The categories of this paper are: solv-int