On torsion in linearized Legendrian contact homology
Symplectic Geometry
2023-08-14 v2
Abstract
In this short note we discuss certain examples of Legendrian submanifolds, whose linearized Legendrian contact (co)homology groups over integers have non-vanishing algebraic torsion. More precisely, for a given arbitrary finitely generated abelian group and a positive integer , , we construct examples of Legendrian submanifolds of the standard contact vector space , whose -th linearized Legendrian contact (co)homology over computed with respect to a certain augmentation is isomorphic to .
Keywords
Cite
@article{arxiv.2210.09203,
title = {On torsion in linearized Legendrian contact homology},
author = {Roman Golovko},
journal= {arXiv preprint arXiv:2210.09203},
year = {2023}
}
Comments
5 pages, accepted version