Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Compactifications of character varieties and skein relations on
  conformal blocks   Let $M_C(G)$ be the moduli space of semistable principal $G-$bundles over a
smooth curve $C$. We show that a flat degeneration of this space
$M_{C_{\Gamma}}(G)$ associated to a singular stable curve $C_{\Gamma}$ contains
the free group character variety $\mathcal{X}(F_g, G)$ as a dense, open subset,
where $g = genus(C).$ In the case $G = SL_2(\mathbb{C})$ we describe the
resulting compactification explicitly, and in turn we conclude that the
coordinate ring of $M_{C_{\Gamma}}(SL_2(\mathbb{C}))$ is presented by
homogeneous skein relations. Along the way, we prove the parabolic version of
these results over stable, marked curves $(C_{\Gamma}, \vec{p}_{\Gamma})$.

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The categories of this paper are: bayes-an
5
The categories of this paper are: gr-qc
18
The categories of this paper are: econ
14
The categories of this paper are: math-ph
33
The categories of this paper are: plasm-ph
15
The categories of this paper are: nucl-ex
32
The categories of this paper are: atom-ph
25
The categories of this paper are: patt-sol
34
The categories of this paper are: chem-ph
12
The categories of this paper are: nucl-th
35
The categories of this paper are: mtrl-th
13
The categories of this paper are: quant-ph
16
The categories of this paper are: stat
8
The categories of this paper are: hep-ex
9
The categories of this paper are: nlin
22
The categories of this paper are: chao-dyn