Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Toward universality in degree 2 of the Kricker lift of the Kontsevich
  integral and the Lescop equivariant invariant   In the setting of finite type invariants for null-homologous knots in
rational homology 3-spheres with respect to null Lagrangian-preserving
surgeries, there are two candidates to be universal invariants, defined
respectively by Kricker and Lescop. In a previous paper, the second author
defined maps between spaces of Jacobi diagrams. Injectivity for these maps
would imply that Kricker and Lescop invariants are indeed universal invariants;
this would prove in particular that these two invariants are equivalent. In the
present paper, we investigate the injectivity status of these maps for degree 2
invariants, in the case of knots whose Blanchfield modules are direct sums of
isomorphic Blanchfield modules of Q-dimension two. We prove that they are
always injective except in one case, for which we determine explicitly the
kernel.

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The categories of this paper are: hep-th
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The categories of this paper are: gr-qc
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The categories of this paper are: supr-con
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The categories of this paper are: ao-sci
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The categories of this paper are: funct-an
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The categories of this paper are: q-bio
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The categories of this paper are: bayes-an
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The categories of this paper are: acc-phys
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The categories of this paper are: hep-lat
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The categories of this paper are: hep-ex
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The categories of this paper are: alg-geom
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The categories of this paper are: q-alg
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The categories of this paper are: econ
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The categories of this paper are: cond-mat
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The categories of this paper are: dg-ga
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The categories of this paper are: chao-dyn