Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Contact structures, excisions, and sutured monopole Floer homology   In this paper, we explore the interplay between contact structures and
sutured monopole Floer homology. First, we study the behavior of contact
elements, which were defined by Baldwin and Sivek, under the operation of
performing Floer excisions, which was introduced to the context of sutured
monopole Floer homology by Kronheimer and Mrowka. We then compute the sutured
monopole Floer homology of some special balanced sutured manifolds, using tools
closely related to contact geometry. For application, we obtain an exact
triangle for the oriented skein relation in monopole theory and derive a
connected sum formula for sutured monopole Floer homology.

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The categories of this paper are: quant-ph
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The categories of this paper are: ao-sci
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The categories of this paper are: dg-ga
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The categories of this paper are: econ
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The categories of this paper are: funct-an
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The categories of this paper are: nucl-th
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The categories of this paper are: q-bio
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The categories of this paper are: alg-geom
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The categories of this paper are: adap-org
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The categories of this paper are: nlin
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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: bayes-an
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The categories of this paper are: gr-qc
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The categories of this paper are: hep-th
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The categories of this paper are: physics