Generic jet evaluation transversality of contact instantons against contact distribution

Abstract

For a given coorientable contact manifold $(M,\Xi )$ with contact distribution $\Xi$, we consider its contact forms $\lambda$ with $\ker \lambda =\Xi$, and the associated contact triads $(M,\lambda ,J)$. For a generic choice of contact form $\lambda$, we prove the (0-jet) the interior and boundary evaluation maps, and the 1-jet transversality of contact instantons (against contact distribution, for example).

32 pages. arXiv admin note: substantial text overlap with arXiv:2209.03548, arXiv:2205.00370