Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Spectral invariants of distance functions   Calculating the spectral invariant of Floer homology of the distance
function, we can find some kind of superheavy subsets in symplectic manifolds.
We show if convex open subsets in Euclidian space with the standard symplectic
form are disjointly embedded in a spherically negative monotone closed
symplectic manifold, their compliment is superheavy. In particular, the $S^1$
bouquet in a closed Riemann surface with genus $g\geq 1$ is superheavy. We also
prove some analogous properties of a monotone closed symplectic manifold. These
can be used to extend Seyfaddni's result about lower bounds of Poisson bracket
invariant.

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The categories of this paper are: patt-sol
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The categories of this paper are: funct-an
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The categories of this paper are: alg-geom
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The categories of this paper are: stat
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The categories of this paper are: chem-ph
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The categories of this paper are: eess
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The categories of this paper are: cmp-lg
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The categories of this paper are: hep-th
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The categories of this paper are: cs
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The categories of this paper are: mtrl-th
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The categories of this paper are: physics
5
The categories of this paper are: gr-qc
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The categories of this paper are: q-alg
0
The categories of this paper are: hep-ph
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The categories of this paper are: q-bio
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The categories of this paper are: nucl-ex