Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The regularized free fall II -- Homology computation via heat flow   In [BOV20] Barutello, Ortega, and Verzini introduced a non-local functional
which regularizes the free fall. This functional has a critical point at
infinity and therefore does not satisfy the Palais-Smale condition.
  In this article we study the $L^2$ gradient flow which gives rise to a
non-local heat flow. We construct a rich cascade Morse complex which has one
generator in each degree $k\ge 1$. Calculation reveals a rather poor Morse
homology having just one generator. In particular, there must be a wealth of
solutions of the heat flow equation. These can be interpreted as solutions of
the Schr\"odinger equation after a Wick rotation.

5
The categories of this paper are: gr-qc
10
The categories of this paper are: q-bio
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The categories of this paper are: q-fin
20
The categories of this paper are: acc-phys
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The categories of this paper are: atom-ph
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The categories of this paper are: solv-int
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The categories of this paper are: chem-ph
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The categories of this paper are: hep-ex
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The categories of this paper are: astro-ph
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The categories of this paper are: hep-th
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The categories of this paper are: cond-mat
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The categories of this paper are: funct-an
37
The categories of this paper are: supr-con
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The categories of this paper are: hep-ph
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The categories of this paper are: patt-sol
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The categories of this paper are: cs