Bunke, Ulrich

[["dc.bibliographiccitation.firstpage","1"],["dc.bibliographiccitation.journal","Annales mathématiques Blaise Pascal"],["dc.bibliographiccitation.lastpage","16"],["dc.bibliographiccitation.volume","17"],["dc.contributor.author","Bunke, Ulrich"],["dc.contributor.author","Kreck, Matthias"],["dc.contributor.author","Schick, Thomas"],["dc.date.accessioned","2019-07-09T11:53:17Z"],["dc.date.available","2019-07-09T11:53:17Z"],["dc.date.issued","2010"],["dc.description.abstract","In this paper we give a geometric cobordism description of differential integral cohomology. The main motivation to consider this model (for other models see [5, 6, 7, 8]) is that it allows for simple descriptions of both the cup product and the integration. In particular it is very easy to verify the compatibilty of these structures. We proceed in a similar way in the case of differential cobordism as constructed in [4]. There the starting point was Quillen\\’s cobordism description of singular cobordism groups for a differential manifold X. Here we use instead the similar description of integral cohomology from [11]. This cohomology theory is denoted by SH (X). In this description smooth manifolds in Quillen\\’s description are replaced by so-called stratifolds, which are certain stratified spaces. The cohomology theory SH (X) is naturally isomorphic to ordinary integral cohomology H (X), thus we obtain a cobordism type definition of the differential extension of ordinary integral cohomology."],["dc.identifier.doi","10.5802/ambp.276"],["dc.identifier.fs","582332"],["dc.identifier.purl","https://resolver.sub.uni-goettingen.de/purl?gs-1/7241"],["dc.identifier.uri","https://resolver.sub.uni-goettingen.de/purl?gro-2/60387"],["dc.language.iso","en"],["dc.notes.intern","Merged from goescholar"],["dc.rights","Goescholar"],["dc.rights.uri","https://goescholar.uni-goettingen.de/licenses"],["dc.title","A geometric description of differential cohomology"],["dc.type","journal_article"],["dc.type.internalPublication","yes"],["dc.type.version","published_version"],["dspace.entity.type","Publication"]]