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arXiv · 1011.4050

Descendents on local curves: Rationality

R. Pandharipande·A. Pixton
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Abstract

We study the stable pairs theory of local curves in 3-folds with descendent insertions. The rationality of the partition function of descendent invariants is established for the full local curve geometry (equivariant with respect to the scaling 2-torus) including relative conditions and odd degree insertions for higher genus curves. The capped 1-leg descendent vertex (equivariant with respect to the 3-torus) is also proven to be rational. The results are obtained by combining geometric constraints with a detailed analysis of the poles of the descendent vertex.

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BibTeXRIS

R. Pandharipande, A. Pixton. 2012-07-04. Descendents on local curves: Rationality. https://doi.org/10.1112/s0010437x12000498

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