dc.contributor.author | Rahm, Alexander D. | |
dc.date.accessioned | 2016-05-16T11:06:36Z | |
dc.date.available | 2016-05-16T11:06:36Z | |
dc.date.issued | 2016-09 | |
dc.identifier.citation | Rahm, Alexander D. (2016) 'On the equivariant K-homology of PSL_2 of the imaginary quadratic integers'. Annales De L Institut Fourier, (66) 4 pp. 1667-89 . | en_IE |
dc.identifier.issn | 1777-5310 | |
dc.identifier.uri | http://hdl.handle.net/10379/5804 | |
dc.description | Journal article | en_IE |
dc.description.abstract | We establish formulae for the part due to torsion of the equivariant $K$-homology of all the Bianchi groups (PSL$_2$ of the imaginary quadratic integers), in terms of elementary number-theoretic quantities. To achieve this, we introduce a novel technique in the computation of Bredon homology: representation ring splitting, which allows us to adapt the recent technique of torsion subcomplex reduction from group homology to Bredon homology. | en_IE |
dc.format | application/pdf | en_IE |
dc.language.iso | en | en_IE |
dc.publisher | Association des Annales de l'Institut Fourier | en_IE |
dc.relation.ispartof | Annales De L Institut Fourier | en |
dc.rights | Attribution-NonCommercial-NoDerivs 3.0 Ireland | |
dc.rights.uri | https://creativecommons.org/licenses/by-nc-nd/3.0/ie/ | |
dc.subject | Equivariant homology and cohomology | en_IE |
dc.subject | Equivariant K-theory | en_IE |
dc.subject | Bianchi groups | en_IE |
dc.subject | PSL(2) of the imaginary quadratic integers | en_IE |
dc.title | On the equivariant K-homology of PSL_2 of the imaginary quadratic integers | en_IE |
dc.type | Article | en_IE |
dc.date.updated | 2016-04-25T16:10:17Z | |
dc.identifier.doi | 10.5802/aif.3047 | |
dc.local.publishedsource | http://aif.cedram.org/aif-bin/item?id=AIF_2016__66_4_1667_0 | en_IE |
dc.description.peer-reviewed | peer-reviewed | |
dc.contributor.funder | |~| | |
dc.internal.rssid | 10901890 | |
dc.local.contact | Alexander Rahm, School Of Maths, Stats &, Applied Maths,, Nui Galway.. Email: alexander.rahm@nuigalway.ie | |
dc.local.copyrightchecked | Yes | |
dc.local.version | ACCEPTED | |
nui.item.downloads | 284 | |