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Moduli Spaces of $J$-holomorphic Curves with General Jet Constraints by Zhu, Ke is a scholarly article available to read on EtoBox.

What is Moduli Spaces of $J$-holomorphic Curves with General Jet Constraints about?

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.

Author

Zhu, Ke

Published

2009

Language

EN