Cohomology theories on locally conformal symplectic manifolds

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F15%3A00441464" target="_blank" >RIV/67985840:_____/15:00441464 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.4310/AJM.2015.v19.n1.a3" target="_blank" >http://dx.doi.org/10.4310/AJM.2015.v19.n1.a3</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.4310/AJM.2015.v19.n1.a3" target="_blank" >10.4310/AJM.2015.v19.n1.a3</a>

Result language
angličtina
Original language name
Cohomology theories on locally conformal symplectic manifolds
Original language description
In this note we introduce primitive cohomology groups of locally conformal symplectic manifolds (...). We study the relation between the primitive cohomology groups and the Lichnerowicz-Novikov cohomology groups of (...) , using and extending the technique of spectral sequences developed by Di Pietro and Vinogradov for symplectic manifolds. We discuss related results by many peoples, e.g. Bouche, Lychagin, Rumin, Tseng-Yau, in light of our spectral sequences. We calculate the primitive cohomology groupsof a (2n+2) -dimensional locally conformal symplectic nilmanifold as well as those of a l.c.s. solvmanifold. We show that the l.c.s. solvmanifold is a mapping torus of a contactomorphism, which is not isotopic to the identity.
Czech name
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Czech description
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Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BA - General mathematics
OECD FORD branch
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Project
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Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2015
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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