English

Generic jet evaluation transversality of contact instantons against contact distribution

Symplectic Geometry 2025-01-10 v1

Abstract

For a given coorientable contact manifold (M,Ξ)(M,\Xi) with contact distribution Ξ\Xi, we consider its contact forms λ\lambda with kerλ=Ξ\ker \lambda = \Xi, and the associated contact triads (M,λ,J)(M,\lambda, J). For a generic choice of contact form λ\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).

Keywords

Cite

@article{arxiv.2501.04722,
  title  = {Generic jet evaluation transversality of contact instantons against contact distribution},
  author = {Yomg-Geun Oh},
  journal= {arXiv preprint arXiv:2501.04722},
  year   = {2025}
}

Comments

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