On torsion in linearized Legendrian contact homology
| Autor: | Golovko, Roman |
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| Rok vydání: | 2022 |
| Předmět: | |
| Zdroj: | Journal of Knot Theory and Its Ramifications, Vol. 32, No. 07, 2350056 (2023) |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1142/S0218216523500566 |
| Popis: | 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 $n\geq 3$, $n\neq 4$, we construct examples of Legendrian submanifolds of the standard contact vector space $\mathbb R^{2n+1}$, whose $n-1$-th linearized Legendrian contact (co)homology over $\mathbb Z$ computed with respect to a certain augmentation is isomorphic to $G$. Comment: 5 pages, accepted version |
| Databáze: | arXiv |
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