Publication at Faculty of Mathematics and Physics |
2023
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 G and a positive integer n = 3, n ?4, we construct examples of Legendrian submanifolds of the standard contact vector space R2n+1, whose n-1th linearized Legendrian contact (co)homology over Z computed with respect to a certain augmentation is isomorphic to G.