Rigidity and crystallographic groups. I

DOI10.1007/BF01234410zbMath0692.57017OpenAlexW2012703305MaRDI QIDQ583667

Frank Connolly, Tadeusz Koźniewski

Publication date: 1990

Published in: Inventiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/143749

zbMATH Keywords

Whitehead groupTate cohomologyholonomy groupcrystallographic groupBorel-Quinn conjecturecrystallographic manifoldequivariant Whitehead grouph-cobordism rigiditytorsion free, properly discontinuous, co-compact subgroups of \(Homeo({\mathbb{R}}^ n)\)Whitehead group of G-h-cobordisms of the flat torus

Mathematics Subject Classification ID

Global Riemannian geometry, including pinching (53C20) Bordism and cobordism theories and formal group laws in algebraic topology (55N22) Discontinuous groups of transformations (57S30) Simple homotopy type, Whitehead torsion, Reidemeister-Franz torsion, etc. (57Q10) (h)- and (s)-cobordism (57R80) Equivariant cobordism (57R85) Algebraic topology on manifolds and differential topology (57R19)

Related Items

TOPOLOGICAL K-THEORY OF THE GROUP C*-ALGEBRA OF A SEMI-DIRECT PRODUCT ℤⁿ ⋊ ℤ/m FOR A FREE CONJUGATION ACTION, Expanding endomorphisms of crystallographic manifolds, Controlled \(K\)-theory, The groups \(N^ rK_ 0(\mathbb{Z}\pi )\) are finitely generated \(\mathbb{Z} [\mathbb{N}^ r\)-modules if \(\pi\) is a finite group], Algebraic \(K\)-theory over virtually abelian groups, The Farrell-Jones Conjecture for cocompact lattices in virtually connected Lie groups, Tracing cyclic homology pairings under twisting of graded algebras, Topological rigidity and \(H_1\)-negative involutions on tori, Rigidity of Coxeter groups

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