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This survey article, in honor of G. Tian’s 60th birthday, is inspired by R. Pandharipande’s 2002 note highlighting research directions central to Gromov–Witten theory in algebraic geometry and by G. Tian’s complexgeometric perspective on pseudoholomorphic curves that lies behind many important developments in symplectic topology since the early 1990s.

Some Questions in the Theory of Pseudoholomorphic Curves