Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A Surgery Formula for the Casson-Seiberg-Witten Invariant of Integral
  Homology $S^1 \times S^3$   We prove a surgery formula of the Casson-Seiberg-Witten invariant of integral
homology $S^1 \times S^3$ along an embedded torus, which could either be
regarded as an extension of the product formula for Seiberg-Witten invariants
or a manifestation of the surgery exact triangle in $4$-dimensional
Seiberg-Witten theory of homology $S^1 \times S^3$. As an application, we
compute this invariant for mapping tori of $3$-manifolds under diffeomorphisms
of finite order and fixed-point set being a simple closed curve. This
computation generalizes the result of Lin-Ruberman-Saveliev.

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The categories of this paper are: supr-con
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The categories of this paper are: hep-lat
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The categories of this paper are: dg-ga
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The categories of this paper are: nucl-th
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The categories of this paper are: q-alg
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The categories of this paper are: bayes-an
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The categories of this paper are: comp-gas
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The categories of this paper are: q-fin
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The categories of this paper are: physics
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The categories of this paper are: nucl-ex
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The categories of this paper are: acc-phys
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The categories of this paper are: alg-geom
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The categories of this paper are: ao-sci
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The categories of this paper are: cond-mat
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The categories of this paper are: adap-org
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The categories of this paper are: cmp-lg