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Lidman, Tye ; Pinzón‐Caicedo, Juanita ; Zentner, Raphael

Toroidal integer homology three‐spheres have irreducible SU(2)$SU(2)$‐representations

Lidman, Tye, Pinzón‐Caicedo, Juanita and Zentner, Raphael (2023) Toroidal integer homology three‐spheres have irreducible SU(2)$SU(2)$‐representations. Journal of Topology 16 (1), pp. 344-367.

Date of publication of this fulltext: 22 Feb 2023 15:01
Article


Abstract

We prove that if an integer homology three-sphere contains an embedded incompressible torus, then its fundamental group admits irreducible SU(2)$SU(2)$-representations.



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Details

Item typeArticle
Journal or Publication TitleJournal of Topology
Publisher:WILEY
Place of Publication:HOBOKEN
Volume:16
Number of Issue or Book Chapter:1
Page Range:pp. 344-367
Date18 February 2023
InstitutionsMathematics
Identification Number
ValueType
10.1112/topo.12275DOI
KeywordsDEHN SURGERY; REPRESENTATIONS; INVARIANT; VARIETIES; MANIFOLDS; KNOTS;
Dewey Decimal Classification500 Science > 510 Mathematics
StatusPublished
RefereedYes, this version has been refereed
Created at the University of RegensburgPartially
URN of the UB Regensburgurn:nbn:de:bvb:355-epub-538366
Item ID53836

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