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Descendents on local curves: rationality
| Content Provider | Scilit |
|---|---|
| Author | Pandharipande, R. Pixton, A. |
| Copyright Year | 2012 |
| Description | Journal: Compositio Mathematica 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. |
| Ending Page | 124 |
| Starting Page | 81 |
| ISSN | 00221295 |
| e-ISSN | 15705846 |
| DOI | 10.1112/s0010437x12000498 |
| Journal | Compositio Mathematica |
| Issue Number | 1 |
| Volume Number | 149 |
| Language | English |
| Publisher | Wiley-Blackwell |
| Publisher Date | 2013-01-01 |
| Access Restriction | Open |
| Subject Keyword | Journal: Compositio Mathematica Particles and Fields Physics Local Curves |
| Content Type | Text |
| Resource Type | Article |
| Subject | Algebra and Number Theory |