Copies of holomorphic cylinders VS. Unbranched cover of cylinder.

35 Views Asked by At

Let $(\hat{W}, \hat{\omega})$ be symplectic manifold with cylindrical ends.(Completion of symplectic cobordism) Given a almost complex structure $J$, let $u$ be a $J$-holomorphic curve with finite energy.

I always confuse the following two terminologies:

  1. $u$ is $m$-copies of simple holomorphic cylinders.

  2. $u$ is unbranched cover of a simple holomorphic cylinder.

Are these two concepts the same? If not, what is the different?