Automatic transversality and orbifolds of punctured holomorphic curves in dimension four
Automatic transversality and orbifolds of punctured holomorphic curves in dimension four
We derive a numerical criterion for J-holomorphic curves in 4-dimensional symplectic cobordisms to achieve transversality without any genericity assumption. This generalizes results of Hofer–Lizan–Sikorav [HLS97] and Ivashkovich–Shevchishin [IS99] to allow punctured curves with boundary that generally need not be somewhere injective or immersed. As an application, we combine this with …