Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Heegaard Floer correction terms and rational genus bounds   Given an element in the first homology of a rational homology 3-sphere $Y$,
one can consider the minimal rational genus of all knots in this homology
class. This defines a function $\Theta$ on $H_1(Y;\mathbb Z)$, which was
introduced by Turaev as an analogue of Thurston norm. We will give a lower
bound for this function using the correction terms in Heegaard Floer homology.
As a corollary, we show that Floer simple knots in L-spaces are genus
minimizers in their homology classes, hence answer questions of Turaev and
Rasmussen about genus minimizers in lens spaces.

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The categories of this paper are: funct-an
35
The categories of this paper are: mtrl-th
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The categories of this paper are: comp-gas
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The categories of this paper are: hep-th
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The categories of this paper are: q-fin
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The categories of this paper are: econ
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The categories of this paper are: q-alg
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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: quant-ph
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The categories of this paper are: cs
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The categories of this paper are: nucl-ex
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The categories of this paper are: gr-qc
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The categories of this paper are: math-ph
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The categories of this paper are: acc-phys
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The categories of this paper are: nlin