Topology of complexity one quotients

We describe of the topology of the geometric quotients of 2n dimensional compact connected symplectic manifolds with n-1 dimensional torus actions. When the isotropy weights at each fixed point are in general position, the quotient is homeomorphic to a sphere.

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Bibliographische Detailangaben
Veröffentlicht in:	arXiv.org 2020-06
Hauptverfasser:	Karshon, Yael, Tolman, Susan
Format:	Artikel
Sprache:	eng
Schlagworte:	Isotropy Mathematics - Algebraic Topology Mathematics - Symplectic Geometry Quotients Topology Toruses
Online-Zugang:	Volltext
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Beschreibung
Zusammenfassung:	We describe of the topology of the geometric quotients of 2n dimensional compact connected symplectic manifolds with n-1 dimensional torus actions. When the isotropy weights at each fixed point are in general position, the quotient is homeomorphic to a sphere.
ISSN:	2331-8422
DOI:	10.48550/arxiv.1810.01026