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).