Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A formula for the Theta invariant from Heegaard diagrams   The Theta invariant is the simplest 3-manifold invariant defined with
configuration space integrals. It is actually an invariant of rational homology
spheres equipped with a combing over the complement of a point. It can be
computed as the algebraic intersection of three propagators associated to a
given combing X in the 2-point configuration space of a Q-sphere M. These
propagators represent the linking form of M so that $\Theta(M,X)$ can be
thought of as the cube of the linking form of M with respect to the combing X.
The Theta invariant is the sum of $6 \lambda(M)$ and $p\_1(X)/4$, where
$\lambda$ denotes the Casson-Walker invariant, and $p\_1$ is an invariant of
combings that is an extension of a first relative Pontrjagin class. In this
article, we present explicit propagators associated with Heegaard diagrams of a
manifold, and we use these "Morse propagators," constructed with Greg
Kuperberg, to prove a combinatorial formula for the Theta invariant in terms of
Heegaard diagrams.

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The categories of this paper are: hep-lat
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The categories of this paper are: nucl-ex
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The categories of this paper are: chem-ph
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The categories of this paper are: plasm-ph
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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: nucl-th
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The categories of this paper are: funct-an
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The categories of this paper are: astro-ph
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The categories of this paper are: patt-sol
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The categories of this paper are: atom-ph
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The categories of this paper are: gr-qc
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The categories of this paper are: q-fin
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The categories of this paper are: q-alg
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The categories of this paper are: physics
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The categories of this paper are: quant-ph