Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The Trivial Connection Contribution to Witten's Invariant and Finite
  Type Invariants of Rational Homology Spheres   We derive an analog of Melvin-Morton bound on the power series expansion of
Jones polynomial of algebraically split links and boundary links. This allows
us to produce a simple formula for the trivial connection contribution to
Witten's invariant of rational homology spheres. We show that the n-th term in
the 1/K expansion of the logarithm of this contribution is a finite type
invariant of Ohtsuki order 3n and of at most Garoufalidis order n. This result
is a manifold counterpart of the statement that n-th derivative of the Jones
polynomial is Vassiliev's invariant of order n.

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The categories of this paper are: math-ph
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The categories of this paper are: chao-dyn
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The categories of this paper are: nlin
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The categories of this paper are: patt-sol
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The categories of this paper are: eess
10
The categories of this paper are: q-bio
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The categories of this paper are: chem-ph
37
The categories of this paper are: supr-con
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The categories of this paper are: alg-geom
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The categories of this paper are: stat
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The categories of this paper are: acc-phys
1
The categories of this paper are: cs
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The categories of this paper are: dg-ga
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The categories of this paper are: mtrl-th
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The categories of this paper are: nucl-ex
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The categories of this paper are: funct-an