Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Transverse and Legendrian invariants of cables in combinatorial link
  Floer homology   We study the Ozsv\'{a}th-Szab\'{o}-Thurston transverse invariant in
combinatorial link Floer homology for certain transverse cables
$\mathscr{L}_{p,q}$ of transverse link $L$ in $S^3$. Transverse cables
$\mathscr{L}_{p,q}$ are constructed from the grid diagram of $L$. The main
result is $\hat{\theta}(\mathscr{L}_{p,q})=0$ if and only if
$\hat{\theta}(L)=0$ for $\frac{q}{p}$ sufficiently large. We also prove a
similar result for invariants of Legendrian knots. Our proof uses an inclusion
map $i$ of certain grid complexes associated to $L$ and $L_{p,q}$. We use these
results to generate many infinite families of examples of Legendrian and
transversely non-simple topological link types.

12
The categories of this paper are: nucl-th
1
The categories of this paper are: cs
34
The categories of this paper are: chem-ph
10
The categories of this paper are: q-bio
15
The categories of this paper are: nucl-ex
21
The categories of this paper are: adap-org
6
The categories of this paper are: astro-ph
7
The categories of this paper are: hep-th
0
The categories of this paper are: hep-ph
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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
23
The categories of this paper are: solv-int
35
The categories of this paper are: mtrl-th
33
The categories of this paper are: plasm-ph
37
The categories of this paper are: supr-con