symplectization

symplectization (plural symplectizations)

1. (mathematics) Conversion to symplectic form
   • 2015, Orsola Capovilla-Searle, Lisa Traynor, “Non-Orientable Lagrangian Cobordisms between Legendrian Knots”, in arXiv‎:

     In the symplectization of standard contact ${\displaystyle 3}$-space, ${\displaystyle \mathbb {R} \times \mathbb {R} ^{3}}$, it is known that an orientable Lagrangian cobordism between a Legendrian knot and itself, also known as an orientable Lagrangian endocobordism for the Legendrian knot, must have genus ${\displaystyle 0}$.