The Symplectic-to-Contact Dictionary
Differential Geometry
2026-02-02 v1 Symplectic Geometry
Abstract
Contact Geometry is an odd dimensional analogue of Symplectic Geometry. This vague idea can actually be formalized in a rather precise way by means of a Symplectic-to-Contact Dictionary. The aim of this review paper is discussing the basic entries in this dictionary. Surprisingly, the dictionary can also be applied to apparently far away situations like complex and -structures, to get old and new interesting geometries.
Cite
@article{arxiv.2601.22775,
title = {The Symplectic-to-Contact Dictionary},
author = {Fabrizio Pugliese and Giovanni Sparano and Luca Vitagliano},
journal= {arXiv preprint arXiv:2601.22775},
year = {2026}
}
Comments
19 pages, review paper. Comments welcome!