Coarse topology, enlargeability, and essentialness

DOI10.24033/asens.2073zbMath1169.53032arXiv0707.1999OpenAlexW2949412056MaRDI QIDQ5503613

John Roe, Thomas Schick, Bernhard Hanke, Dieter Kotschick

Publication date: 15 January 2009

Published in: Annales scientifiques de l'École normale supérieure (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0707.1999

zbMATH Keywords

scalar curvaturecoarse homologyessential manifoldenlargeable manifoldBaum-Connes assembly map\(K\)-theory enlargeabilitymacroscopically large manifolduniversally enlargeable manifold

Mathematics Subject Classification ID

Global geometric and topological methods (à la Gromov); differential geometric analysis on metric spaces (53C23) Kasparov theory ((KK)-theory) (19K35) Homology and cohomology theories in algebraic topology (55N99) Index theory (19K56)

Related Items (6)

Geography of 4-manifolds with positive scalar curvature ⋮ Presentability by products for some classes of groups ⋮ Coarse homology of leaves of foliations ⋮ Width, largeness and index theory ⋮ Codimension two index obstructions to positive scalar curvature ⋮ Bordism invariance of the coarse index

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