Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Representations of the Kauffman bracket skein algebra I: invariants and
  miraculous cancellations   We study finite-dimensional representations of the Kauffman skein algebra of
a surface S. In particular, we construct invariants of such irreducible
representations when the underlying parameter q is a root of unity. The main
one of these invariants is a point in the character variety consisting of group
homomorphisms from the fundamental group of S to SL_2(C), or in a twisted
version of this character variety. The proof relies on certain miraculous
cancellations that occur for the quantum trace homomorphism constructed by the
authors. These miraculous cancellations also play a fundamental role in
subsequent work of the authors, where novel examples of representations of the
skein algebra are constructed.

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The categories of this paper are: plasm-ph
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The categories of this paper are: dg-ga
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The categories of this paper are: hep-lat
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The categories of this paper are: gr-qc
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The categories of this paper are: stat
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The categories of this paper are: nucl-th
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The categories of this paper are: hep-ex
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The categories of this paper are: eess
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The categories of this paper are: cmp-lg
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The categories of this paper are: acc-phys
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The categories of this paper are: astro-ph
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The categories of this paper are: econ
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The categories of this paper are: supr-con
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The categories of this paper are: physics
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The categories of this paper are: hep-th
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The categories of this paper are: math-ph