On torsion in linearized Legendrian contact homology

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F23%3A10474814" target="_blank" >RIV/00216208:11320/23:10474814 - isvavai.cz</a>
Result on the web
<a href="https://verso.is.cuni.cz/pub/verso.fpl?fname=obd_publikace_handle&handle=5-E5OsSbeo" target="_blank" >https://verso.is.cuni.cz/pub/verso.fpl?fname=obd_publikace_handle&handle=5-E5OsSbeo</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1142/S0218216523500566" target="_blank" >10.1142/S0218216523500566</a>

Result language
angličtina
Original language name
On torsion in linearized Legendrian contact homology
Original language description
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.
Czech name
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Czech description
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Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
—
OECD FORD branch
10101 - Pure mathematics

Project
<a href="/en/project/GX19-28628X" target="_blank" >GX19-28628X: Homotopy and Homology Methods and Tools Related to Mathematical Physics</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2023
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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