Poisson smooth structures on stratified symplectic spaces

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F15%3A10289629" target="_blank" >RIV/00216208:11320/15:10289629 - isvavai.cz</a>
Alternative codes found
RIV/67985840:_____/15:00437490
Result on the web
<a href="http://link.springer.com/chapter/10.1007/978-3-0348-0859-0_11" target="_blank" >http://link.springer.com/chapter/10.1007/978-3-0348-0859-0_11</a>
DOI - Digital Object Identifier
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Result language
angličtina
Original language name
Poisson smooth structures on stratified symplectic spaces
Original language description
In this note we introduce the notion of a smooth structure on a stratified space and the notion of a Poisson smooth structure on a stratified symplectic space. We show that these smooth spaces possess several important properties, e.g. the existence of smooth partitions of unity. Furthermore, under a mild condition many properties of a symplectic manifold can be extended to a symplectic stratified space provided with a smooth Poisson structure, e.g. the existence and uniqueness of a Hamiltonian flow, the isomorphism between the Brylinski-Poisson homology and the de Rham homology, the existence of a Leftschetz decomposition on a symplectic stratified space. We give many examples of stratified symplectic spaces satisfying these properties.
Czech name
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Czech description
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Project
Result was created during the realization of more than one project. More information in the Projects tab.
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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