Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: H\"older-Topology of the Heisenberg group   The Heisenberg groups are examples of sub-Riemannian manifolds homeomorphic,
but not diffeomorphic to the Euclidean space. Their metric is derived from
curves which are only allowed to move in so-called horizontal directions.
  We report on some recent progress in the Analysis of the H\"older topology of
the Heisenberg group, some related and some unrelated to density questions for
Sobolev maps into the Heisenberg group.
  In particular we describe the main ideas behind a result by Haj\l{}asz,
Mirra, and the author regarding Gromov's conjecture, which is based on the
linking number. We do not prove or disprove the Gromov Conjecture.

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The categories of this paper are: stat
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The categories of this paper are: econ
36
The categories of this paper are: cmp-lg
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The categories of this paper are: q-alg
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The categories of this paper are: ao-sci
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The categories of this paper are: solv-int
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The categories of this paper are: hep-th
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The categories of this paper are: patt-sol
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The categories of this paper are: alg-geom
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The categories of this paper are: chem-ph
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The categories of this paper are: acc-phys
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The categories of this paper are: supr-con
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The categories of this paper are: math-ph
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The categories of this paper are: dg-ga
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The categories of this paper are: quant-ph
0
The categories of this paper are: hep-ph