Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Khovanov-Jacobsson numbers and invariants of surface-knots derived from
  Bar-Natan's theory   Khovanov introduced a cohomology theory for oriented classical links whose
graded Euler characteristic is the Jones polynomial. Since Khovanov's theory is
functorial for link cobordisms between classical links, we obtain an invariant
of a surface-knot, called the {\it Khovanov-Jacobsson number}, by considering
the surface-knot as a link cobordism between empty links. In this paper, we
define an invariant of a surface-knot which is a generalization of the
Khovanov-Jacobsson number by using Bar-Natan's theory, and prove that any
$T^2$-knot has the trivial Khovanov-Jacobsson number.

14
The categories of this paper are: math-ph
5
The categories of this paper are: gr-qc
21
The categories of this paper are: adap-org
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The categories of this paper are: acc-phys
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The categories of this paper are: nucl-th
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The categories of this paper are: comp-gas
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The categories of this paper are: eess
6
The categories of this paper are: astro-ph
8
The categories of this paper are: hep-ex
36
The categories of this paper are: cmp-lg
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The categories of this paper are: hep-lat
31
The categories of this paper are: ao-sci
33
The categories of this paper are: plasm-ph
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The categories of this paper are: quant-ph
4
The categories of this paper are: cond-mat
1
The categories of this paper are: cs