Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Embedding calculus knot invariants are of finite type   We show that the map on components from the space of classical long knots to
the n-th stage of its Goodwillie-Weiss embedding calculus tower is a map of
monoids whose target is an abelian group and which is invariant under clasper
surgery. We deduce that this map on components is a finite type-(n-1) knot
invariant. We also compute the second page in total degree zero for the
spectral sequence converging to the components of this tower as Z-modules of
primitive chord diagrams, providing evidence for the conjecture that the tower
is a universal finite-type invariant over the integers. Key to these results is
the development of a group structure on the tower compatible with connect-sum
of knots, which in contrast with the corresponding results for the (weaker)
homology tower requires novel techniques involving operad actions, evaluation
maps, and cosimplicial and subcubical diagrams.

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The categories of this paper are: supr-con
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The categories of this paper are: cmp-lg
15
The categories of this paper are: nucl-ex
7
The categories of this paper are: hep-th
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The categories of this paper are: quant-ph
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The categories of this paper are: dg-ga
33
The categories of this paper are: plasm-ph
8
The categories of this paper are: hep-ex
16
The categories of this paper are: stat
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The categories of this paper are: mtrl-th
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The categories of this paper are: q-fin
6
The categories of this paper are: astro-ph
11
The categories of this paper are: hep-lat
34
The categories of this paper are: chem-ph
4
The categories of this paper are: cond-mat
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The categories of this paper are: funct-an