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Moduli Spaces of $J$-holomorphic Curves with General Jet Constraints
| Content Provider | Semantic Scholar |
|---|---|
| Copyright Year | 2009 |
| Abstract | In this paper, we prove that the tagent map of the holomorphic $k$- jet evaluation $j^k_{hol}$ from the mapping space to holomorphic $k$-jet bundle, when restricted on the universal moduli space of simple J-holomorphic curves with one marked point, is surjective. From this we derive that for generic $J$, the moduli space of simple $J$-holomorphic curves in class $\beta\in H_2(M)$ with general jet constraints at marked points is a smooth manifold of expected dimension. |
| File Format | PDF HTM / HTML |
| Alternate Webpage(s) | https://arxiv.org/pdf/0911.1710v1.pdf |
| Language | English |
| Access Restriction | Open |
| Content Type | Text |
| Resource Type | Article |