Multisymplectic actions of compact Lie groups on spheres

Antonio Michele Miti; Leonid Ryvkin

doi:10.4310/jsg.2020.v18.n6.a6

Multisymplectic actions of compact Lie groups on spheres

Antonio Michele Miti
, Leonid Ryvkin

Università Cattolica del Sacro Cuore

Université de Paris Batiment Sophie Germain

Risultato della ricerca: Contributo in rivista › Articolo

Abstract

We investigate the existence of homotopy comoment maps (como-ments) for high-dimensional spheres seen as multisymplectic man-ifolds. Especially, we solve the existence problem for compact ef-fective group actions on spheres and provide explicit constructions for such comoments in interesting particular cases.

Lingua originale	Inglese
pagine (da-a)	1751-1785
Numero di pagine	35
Rivista	Journal of Symplectic Geometry
Volume	18
DOI	https://doi.org/10.4310/jsg.2020.v18.n6.a6
Stato di pubblicazione	Pubblicato - 2020

Keywords

Mathematical Physics
Group Theory
Differential Geometry

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title = "Multisymplectic actions of compact Lie groups on spheres",

abstract = "We investigate the existence of homotopy comoment maps (como-ments) for high-dimensional spheres seen as multisymplectic man-ifolds. Especially, we solve the existence problem for compact ef-fective group actions on spheres and provide explicit constructions for such comoments in interesting particular cases.",

keywords = "Mathematical Physics, Group Theory, Differential Geometry, Mathematical Physics, Group Theory, Differential Geometry",

author = "Miti, \{Antonio Michele\} and Leonid Ryvkin",

year = "2020",

doi = "10.4310/jsg.2020.v18.n6.a6",

language = "English",

volume = "18",

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journal = "Journal of Symplectic Geometry",

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publisher = "International Press of Boston, Inc.",

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AU - Miti, Antonio Michele

AU - Ryvkin, Leonid

PY - 2020

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N2 - We investigate the existence of homotopy comoment maps (como-ments) for high-dimensional spheres seen as multisymplectic man-ifolds. Especially, we solve the existence problem for compact ef-fective group actions on spheres and provide explicit constructions for such comoments in interesting particular cases.

AB - We investigate the existence of homotopy comoment maps (como-ments) for high-dimensional spheres seen as multisymplectic man-ifolds. Especially, we solve the existence problem for compact ef-fective group actions on spheres and provide explicit constructions for such comoments in interesting particular cases.

KW - Mathematical Physics

KW - Group Theory

KW - Differential Geometry

KW - Mathematical Physics

KW - Group Theory

KW - Differential Geometry

UR - http://hdl.handle.net/10807/299756

U2 - 10.4310/jsg.2020.v18.n6.a6

DO - 10.4310/jsg.2020.v18.n6.a6

M3 - Article

SN - 1527-5256

VL - 18

SP - 1751

EP - 1785

JO - Journal of Symplectic Geometry

JF - Journal of Symplectic Geometry

ER -

Multisymplectic actions of compact Lie groups on spheres

Abstract

Keywords

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