University of Münster
CRIS@UM
DE | EN

Equivariantly homeomorphic quasitoric manifolds are diffeomorphic

Wiemeler, Michael

Research article (journal) | Peer reviewed

Abstract

In this note we prove that equivariantly homeomorphic quasitoric manifolds are diffeomorphic. As a consequence we show that up to finite ambiguity the diffeomorphism type of certain quasitoric manifolds M is determined by their cohomology rings and first Pontrjagin classes.

Details about the publication

Journal: Boletín de la Sociedad Matemática Mexicana (Bol. Soc. Mat. Mexicana)
Volume: 23
Issue: 1
Page range: 501-509
Status: Published
Release year: 2017
DOI: 10.1007/s40590-016-0091-0
Keywords: quasitoric manifolds; diffeomorhism classification

Authors from the University of Münster

Wiemeler, Michael
Professur für Differentialgeometrie (Prof. Wilking)