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The size of the intersection of A and B tells us if we should expect many solutions, or if we should be surprised to find even one. The latter case implies a conspiracy and is the most interesting.
This appendix provides a quick summary (without proofs) of the standard technical results of holomorphic curves that are needed in the rest of the book, including the basic facts on simple and multiply covered curves, moduli spaces and their dimensions, Fredholm regularity, and compactifications. The treatment covers both closed and punctured (asymptotically cylindrical) holomorphic curves.
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