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

Research output: Contribution to journal › Article

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.

Original language	English
Pages (from-to)	1751-1785
Number of pages	35
Journal	Journal of Symplectic Geometry
Volume	18
DOIs	https://doi.org/10.4310/jsg.2020.v18.n6.a6
Publication status	Published - 2020

Keywords

Mathematical Physics
Group Theory
Differential Geometry

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10.4310/jsg.2020.v18.n6.a6

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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",

pages = "1751--1785",

journal = "Journal of Symplectic Geometry",

issn = "1527-5256",

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

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TY - JOUR

T1 - Multisymplectic actions of compact Lie groups on spheres

AU - Miti, Antonio Michele

AU - Ryvkin, Leonid

PY - 2020

Y1 - 2020

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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