Equivariant Symplectic Geometry of Cotangent Bundles, II

Autor:	D. A. Timashev
Rok vydání:	2006
Předmět:	Pure mathematics General Mathematics Structure (category theory) Equivariant map Cotangent bundle Algebraic variety Variety (universal algebra) Reductive group Invariant (mathematics) Mathematics::Symplectic Geometry Mathematics Symplectic geometry
Zdroj:	Moscow Mathematical Journal. 6:389-404
ISSN:	1609-4514 1609-3321
Popis:	We examine the structure of the cotangent bundle $T^{*}X$ of an algebraic variety $X$ acted on by a reductive group $G$ from the viewpoint of equivariant symplectic geometry. In particular, we construct an equivariant symplectic covering of $T^{*}X$ by the cotangent bundle of a certain variety of horospheres in $X$, and integrate the invariant collective motion on $T^{*}X$. These results are based on a "local structure theorem" describing the action of a certain parabolic in $G$ on an open subset of $X$, which is interesting by itself.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::6a45025161cfc67e4b46e2721170b596 https://doi.org/10.17323/1609-4514-2006-6-2-389-404 Zobrazit plný text záznamu