Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Grid Movies   We present a grid diagram analogue of Carter, Rieger and Saito's smooth movie
theorem. Specifically, we give definitions for grid movies, grid movie
isotopies and present a definition of grid planar isotopy as a particular
subset of the grid diagram moves: stabilization, destabilization and
commutation. We show that grid planar isotopy classes are in 1-1 correspondence
with smooth planar isotopy classes by using a new planar grid algorithm that
takes a smooth knot diagram to a grid diagram. We then present generalizations
of both the smooth and grid movie theorems that apply to surfaces with
boundary.

31
The categories of this paper are: ao-sci
18
The categories of this paper are: econ
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
17
The categories of this paper are: q-fin
36
The categories of this paper are: cmp-lg
7
The categories of this paper are: hep-th
25
The categories of this paper are: patt-sol
33
The categories of this paper are: plasm-ph
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The categories of this paper are: funct-an
11
The categories of this paper are: hep-lat
30
The categories of this paper are: q-alg
16
The categories of this paper are: stat
35
The categories of this paper are: mtrl-th
24
The categories of this paper are: dg-ga