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Some finiteness results
for groups of automorphisms of manifolds
Alexander Kupers |
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Geometry & Topology 23 (2019) 2277–2333
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Abstract |
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We prove that in dimension the homology and homotopy groups of the classifying space of the topological group of diffeomorphisms of a disk fixing the boundary are finitely generated in each degree. The proof uses homological stability, embedding calculus and the arithmeticity of mapping class groups. From this we deduce similar results for the homeomorphisms of and various types of automorphisms of –connected manifolds. |
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Keywords
diffeomorphisms, embeddings
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Mathematical Subject Classification 2010
Primary: 57S05
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References |
Publication
Received: 15 January 2017
Revised: 7 November 2018
Accepted: 15 December 2018
Published: 13 October 2019
Proposed: Yasha Eliashberg
Seconded: Peter Teichner, Benson Farb
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Authors |
| Alexander Kupers | |
| Department of Mathematics Harvard University Cambridge, MA United States |
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