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- W3100110995 abstract "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." @default.
- W3100110995 created "2020-11-23" @default.
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- W3100110995 date "2015-05-21" @default.
- W3100110995 modified "2023-10-17" @default.
- W3100110995 title "A formula for the Θ–invariant from Heegaard diagrams" @default.
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- W3100110995 doi "https://doi.org/10.2140/gt.2015.19.1205" @default.
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