Some finiteness results for groups of automorphisms of manifolds
Abstract/Contents
- Abstract
- We prove that in dimensions not equal to 4,5,7 the homology and homotopy groups 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 R^n and various types of automorphisms of 2-connected manifolds.
Description
| Type of resource | text |
|---|---|
| Form | electronic; electronic resource; remote |
| Extent | 1 online resource. |
| Publication date | 2016 |
| Issuance | monographic |
| Language | English |
Creators/Contributors
| Associated with | Kupers, Alexander |
|---|---|
| Associated with | Stanford University, Department of Mathematics. |
| Primary advisor | Galatius, Søren, 1976- |
| Thesis advisor | Galatius, Søren, 1976- |
| Thesis advisor | Cohen, Ralph L, 1952- |
| Thesis advisor | Wilson, Jennifer C. H |
| Advisor | Cohen, Ralph L, 1952- |
| Advisor | Wilson, Jennifer C. H |
Subjects
| Genre | Theses |
|---|
Bibliographic information
| Statement of responsibility | Alexander Kupers. |
|---|---|
| Note | Submitted to the Department of Mathematics. |
| Thesis | Thesis (Ph.D.)--Stanford University, 2016. |
| Location | electronic resource |
Access conditions
- Copyright
- © 2016 by Alexander Pieter Martijn Kupers
- License
- This work is licensed under a Creative Commons Attribution Non Commercial 3.0 Unported license (CC BY-NC).
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