Torus actions on Alexandrov 4-spaces

Corro, Diego, Núñez-Zimbrón, Jesús and Zarei, Masoumeh 2022. Torus actions on Alexandrov 4-spaces. Journal of Geometric Analysis 32 (8) , 214. 10.1007/s12220-022-00935-x

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Abstract

We obtain an equivariant classification for orientable, closed, four-dimensional Alexandrov spaces admitting an isometric torus action. This generalizes the equivariant classification of Orlik and Raymond of closed four-dimensional manifolds with torus actions. Moreover, we show that such Alexandrov spaces are equivariantly homeomorphic to 4-dimensional Riemannian orbifolds with isometric T2 -actions. We also obtain a partial homeomorphism classification.

Item Type:	Article
Date Type:	Publication
Status:	Published
Schools:	Mathematics
Publisher:	Springer
ISSN:	1050-6926
Date of First Compliant Deposit:	8 September 2023
Date of Acceptance:	11 April 2022
Last Modified:	08 Sep 2023 11:00
URI:	https://orca.cardiff.ac.uk/id/eprint/162208

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