Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On invariants for surface-links in entropic magmas via marked graph
  diagrams   M. Niebrzydowski and J. H. Przytycki defined a Kauffman bracket magma and
constructed the invariant P of framed links in 3-space. The invariant is
closely related to the Kauffman bracket polynomial. The normalized bracket
polynomial is obtained from the Kauffman bracket polynomial by the
multiplication of indeterminate and it is an ambient isotopy invariant for
links. In this paper, we reformulate the multiplication by using a map from the
set of framed links to a Kauffman bracket magma in order that $P$ is invariant
for links in 3-space. We define a generalization of a Kauffman bracket magma,
which is called a marked Kauffman bracket magma. We find the conditions to be
invariant under Yoshikawa moves except the first one and use a map from the set
of admissible marked graph diagrams to a marked Kauffman bracket magma to
obtain the invariant for surface-links in 4-space.

29
The categories of this paper are: funct-an
9
The categories of this paper are: nlin
36
The categories of this paper are: cmp-lg
28
The categories of this paper are: alg-geom
22
The categories of this paper are: chao-dyn
8
The categories of this paper are: hep-ex
6
The categories of this paper are: astro-ph
12
The categories of this paper are: nucl-th
19
The categories of this paper are: eess
10
The categories of this paper are: q-bio
26
The categories of this paper are: bayes-an
23
The categories of this paper are: solv-int
27
The categories of this paper are: comp-gas
16
The categories of this paper are: stat
3
The categories of this paper are: physics
20
The categories of this paper are: acc-phys