Schick, Thomas

[["dc.bibliographiccitation.firstpage","1"],["dc.bibliographiccitation.issue","1, Special Issue: In honor of Robert D. MacPherson. Part 3"],["dc.bibliographiccitation.journal","Pure and Applied Mathematics Quarterly"],["dc.bibliographiccitation.lastpage","24"],["dc.bibliographiccitation.volume","3"],["dc.contributor.author","Baum, Paul"],["dc.contributor.author","Higson, Nigel"],["dc.contributor.author","Schick, Thomas"],["dc.date.accessioned","2017-09-07T11:47:09Z"],["dc.date.available","2017-09-07T11:47:09Z"],["dc.date.issued","2007"],["dc.identifier.doi","10.4310/PAMQ.2007.v3.n1.a1"],["dc.identifier.gro","3146669"],["dc.identifier.uri","https://resolver.sub.uni-goettingen.de/purl?gro-2/4459"],["dc.language.iso","en"],["dc.notes.intern","mathe"],["dc.notes.status","public"],["dc.notes.submitter","chake"],["dc.relation.issn","1558-8599"],["dc.title","On the equivalence of geometric and analytic ehBhomology"],["dc.type","journal_article"],["dc.type.internalPublication","unknown"],["dc.type.peerReviewed","no"],["dspace.entity.type","Publication"]]

[["dc.bibliographiccitation.firstpage","518"],["dc.bibliographiccitation.issue","3"],["dc.bibliographiccitation.journal","Geometric and Functional Analysis"],["dc.bibliographiccitation.lastpage","567"],["dc.bibliographiccitation.volume","9"],["dc.contributor.author","Lück, W."],["dc.contributor.author","Schick, T."],["dc.date.accessioned","2017-09-07T11:47:16Z"],["dc.date.available","2017-09-07T11:47:16Z"],["dc.date.issued","1999"],["dc.description.abstract","Suppose M¯ is a compact connected odd-dimensional manifold with boundary, whose interior M comes with a complete hyperbolic metric of finite volume. We will show that the L2-topological torsion of M¯ and the L2-analytic torsion of the Riemannian manifold M are equal. In particular, the L2-topological torsion of M¯ is proportional to the hyperbolic volume of M, with a constant of proportionality which depends only on the dimension and which is known to be nonzero in odd dimensions [HS]. In dimension 3 this proves the conjecture [Lü2, Conjecture 2.3] or [LLü, Conjecture 7.7] which gives a complete calculation of the L2-topological torsion of compact L2-acyclic 3-manifolds which admit a geometric JSJT-decomposition.¶In an appendix we give a counterexample to an extension of the Cheeger-Müller theorem to manifolds with boundary: if the metric is not a product near the boundary, in general analytic and topological torsion are not equal, even if the Euler characteristic of the boundary vanishes."],["dc.identifier.doi","10.1007/s000390050095"],["dc.identifier.gro","3146701"],["dc.identifier.uri","https://resolver.sub.uni-goettingen.de/purl?gro-2/4494"],["dc.language.iso","en"],["dc.notes.intern","mathe"],["dc.notes.status","final"],["dc.notes.submitter","chake"],["dc.relation.issn","1016-443X"],["dc.title","L2-torsion of Hyperbolic Manifolds of Finite Volume"],["dc.type","journal_article"],["dc.type.internalPublication","no"],["dc.type.peerReviewed","no"],["dspace.entity.type","Publication"]]

[["dc.bibliographiccitation.firstpage","329"],["dc.bibliographiccitation.issue","3"],["dc.bibliographiccitation.journal","Manuscripta Mathematica"],["dc.bibliographiccitation.lastpage","334"],["dc.bibliographiccitation.volume","97"],["dc.contributor.author","Hess, Eckehard"],["dc.contributor.author","Schick, Thomas"],["dc.date.accessioned","2017-09-07T11:47:16Z"],["dc.date.available","2017-09-07T11:47:16Z"],["dc.date.issued","1998"],["dc.description.abstract","We show that the L 2-torsion of odd dimensional hyperbolic manifolds, which is proportional to the volume, is non-zero. This proves a conjecture of Lott."],["dc.identifier.doi","10.1007/s002290050105"],["dc.identifier.gro","3146703"],["dc.identifier.uri","https://resolver.sub.uni-goettingen.de/purl?gro-2/4496"],["dc.language.iso","en"],["dc.notes.intern","mathe"],["dc.notes.status","final"],["dc.notes.submitter","chake"],["dc.relation.issn","0025-2611"],["dc.title","L2-torsion of hyperbolic manifolds"],["dc.type","journal_article"],["dc.type.internalPublication","no"],["dc.type.peerReviewed","no"],["dspace.entity.type","Publication"]]

[["dc.bibliographiccitation.firstpage","149"],["dc.bibliographiccitation.issue","2"],["dc.bibliographiccitation.journal","Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg"],["dc.bibliographiccitation.lastpage","173"],["dc.bibliographiccitation.volume","80"],["dc.contributor.author","Baum, Paul"],["dc.contributor.author","Oyono-Oyono, Hervé"],["dc.contributor.author","Schick, Thomas"],["dc.contributor.author","Walter, Michael"],["dc.date.accessioned","2017-09-07T11:43:07Z"],["dc.date.available","2017-09-07T11:43:07Z"],["dc.date.issued","2010"],["dc.identifier.doi","10.1007/s12188-010-0034-z"],["dc.identifier.gro","3146651"],["dc.identifier.uri","https://resolver.sub.uni-goettingen.de/purl?gro-2/4438"],["dc.notes.intern","mathe"],["dc.notes.status","public"],["dc.notes.submitter","chake"],["dc.relation.issn","0025-5858"],["dc.title","Equivariant geometric ehBhomology for compact Lie group actions"],["dc.type","journal_article"],["dc.type.internalPublication","unknown"],["dc.type.peerReviewed","no"],["dspace.entity.type","Publication"]]

[["dc.bibliographiccitation.firstpage","293"],["dc.bibliographiccitation.issue","2"],["dc.bibliographiccitation.journal","Journal of Differential Geometry"],["dc.bibliographiccitation.lastpage","320"],["dc.bibliographiccitation.volume","74"],["dc.contributor.author","Hanke, Bernhard"],["dc.contributor.author","Schick, Thomas"],["dc.date.accessioned","2017-09-07T11:47:12Z"],["dc.date.available","2017-09-07T11:47:12Z"],["dc.date.issued","2006"],["dc.identifier.gro","3146676"],["dc.identifier.uri","https://resolver.sub.uni-goettingen.de/purl?gro-2/4466"],["dc.notes.intern","mathe"],["dc.notes.status","public"],["dc.notes.submitter","chake"],["dc.relation.issn","0022-040X"],["dc.title","Enlargeability and index theory"],["dc.type","journal_article"],["dc.type.internalPublication","unknown"],["dc.type.peerReviewed","no"],["dspace.entity.type","Publication"]]

[["dc.bibliographiccitation.firstpage","77"],["dc.bibliographiccitation.issue","1"],["dc.bibliographiccitation.journal","Reviews in Mathematical Physics"],["dc.bibliographiccitation.lastpage","112"],["dc.bibliographiccitation.volume","17"],["dc.contributor.author","Bunke, Ulrich"],["dc.contributor.author","Schick, Thomas"],["dc.date.accessioned","2017-09-07T11:47:11Z"],["dc.date.available","2017-09-07T11:47:11Z"],["dc.date.issued","2005"],["dc.description.abstract","We study a topological version of the T-duality relation between pairs consisting of a principal U(1)-bundle equipped with a degree-three integral cohomology class. We describe the homotopy type of a classifying space for such pairs and show that it admits a selfmap which implements a T-duality transformation. We give a simple derivation of a T-duality isomorphism for certain twisted cohomology theories. We conclude with some explicit computations of twisted K-theory groups and discuss an example of iterated T-duality for higher-dimensional torus bundles."],["dc.identifier.doi","10.1142/S0129055X05002315"],["dc.identifier.gro","3146679"],["dc.identifier.uri","https://resolver.sub.uni-goettingen.de/purl?gro-2/4470"],["dc.language.iso","en"],["dc.notes.intern","mathe"],["dc.notes.status","final"],["dc.notes.submitter","chake"],["dc.relation.issn","0129-055X"],["dc.title","On the topology of ehBduality"],["dc.type","journal_article"],["dc.type.internalPublication","yes"],["dc.type.peerReviewed","no"],["dspace.entity.type","Publication"]]

[["dc.bibliographiccitation.firstpage","103"],["dc.bibliographiccitation.issue","1"],["dc.bibliographiccitation.journal","Mathematische Nachrichten"],["dc.bibliographiccitation.lastpage","120"],["dc.bibliographiccitation.volume","223"],["dc.contributor.author","Schick, Thomas"],["dc.date.accessioned","2017-09-07T11:47:16Z"],["dc.date.available","2017-09-07T11:47:16Z"],["dc.date.issued","2001"],["dc.description.abstract","For non–compact manifolds with boundary we prove that bounded geometry defined by coordinate–free curvature bounds is equivalent to bounded geometry defined using bounds on the metric tensor in geodesic coordinates. We produce a nice atlas with subordinate partition of unity on manifolds with boundary of bounded geometry and we study the change of geodesic coordinate maps."],["dc.identifier.doi","10.1002/1522-2616(200103)223:1<103::AID-MANA103>3.0.CO;2-S"],["dc.identifier.gro","3146695"],["dc.identifier.uri","https://resolver.sub.uni-goettingen.de/purl?gro-2/4487"],["dc.language.iso","en"],["dc.notes.intern","mathe"],["dc.notes.status","final"],["dc.notes.submitter","chake"],["dc.relation.issn","0025-584X"],["dc.title","Manifolds with Boundary and of Bounded Geometry"],["dc.type","journal_article"],["dc.type.internalPublication","no"],["dc.type.peerReviewed","no"],["dspace.entity.type","Publication"]]

[["dc.bibliographiccitation.firstpage","1"],["dc.bibliographiccitation.journal","New York Journal of Mathematics"],["dc.bibliographiccitation.lastpage","7"],["dc.bibliographiccitation.volume","8"],["dc.contributor.author","Meintrup, David"],["dc.contributor.author","Schick, Thomas"],["dc.date.accessioned","2017-09-07T11:47:13Z"],["dc.date.available","2017-09-07T11:47:13Z"],["dc.date.issued","2002"],["dc.identifier.arxiv","0209163"],["dc.identifier.arxiv","0209163v3"],["dc.identifier.gro","3146692"],["dc.identifier.uri","https://resolver.sub.uni-goettingen.de/purl?gro-2/4484"],["dc.notes.intern","mathe"],["dc.notes.status","public"],["dc.notes.submitter","chake"],["dc.relation.issn","1076-9803"],["dc.title","A model for the universal space for proper actions of a hyperbolic group"],["dc.type","journal_article"],["dc.type.internalPublication","unknown"],["dc.type.peerReviewed","no"],["dspace.entity.type","Publication"]]

[["dc.bibliographiccitation.firstpage","217"],["dc.bibliographiccitation.journal","Journal für die Reine und Angewandte Mathematik."],["dc.bibliographiccitation.lastpage","233"],["dc.bibliographiccitation.volume","599"],["dc.contributor.author","Melo, Severino T."],["dc.contributor.author","Schick, Thomas"],["dc.contributor.author","Schrohe, Elmar"],["dc.date.accessioned","2017-09-07T11:47:12Z"],["dc.date.available","2017-09-07T11:47:12Z"],["dc.date.issued","2006"],["dc.identifier.doi","10.1515/CRELLE.2006.083"],["dc.identifier.gro","3146675"],["dc.identifier.uri","https://resolver.sub.uni-goettingen.de/purl?gro-2/4465"],["dc.language.iso","en"],["dc.notes.intern","mathe"],["dc.notes.status","final"],["dc.notes.submitter","chake"],["dc.relation.issn","0075-4102"],["dc.title","A K-theoretic proof of Boutet de Monvel's index theorem for boundary value problems"],["dc.type","journal_article"],["dc.type.internalPublication","yes"],["dc.type.peerReviewed","no"],["dspace.entity.type","Publication"]]

[["dc.bibliographiccitation.firstpage","409"],["dc.bibliographiccitation.issue","3"],["dc.bibliographiccitation.journal","Russian Journal of Mathematical Physics"],["dc.bibliographiccitation.lastpage","412"],["dc.bibliographiccitation.volume","16"],["dc.contributor.author","Dymara, J."],["dc.contributor.author","Schick, Thomas"],["dc.date.accessioned","2017-09-07T11:43:05Z"],["dc.date.available","2017-09-07T11:43:05Z"],["dc.date.issued","2009"],["dc.identifier.doi","10.1134/S1061920809030091"],["dc.identifier.gro","3146657"],["dc.identifier.uri","https://resolver.sub.uni-goettingen.de/purl?gro-2/4445"],["dc.notes.intern","mathe"],["dc.notes.status","public"],["dc.notes.submitter","chake"],["dc.relation.issn","1061-9208"],["dc.title","Buildings have finite asymptotic dimension"],["dc.type","journal_article"],["dc.type.internalPublication","unknown"],["dc.type.peerReviewed","no"],["dspace.entity.type","Publication"]]