Abstract
Let X be a compact orientable non-Haken 3-manifold modeled on the Thurston geometry Nil {\operatorname{Nil}}. We show that the diffeomorphism group Diff (X) {\operatorname{Diff}(X)} deformation retracts to the isometry group Isom (X) {\operatorname{Isom}(X)}. Combining this with earlier work by many authors, this completes the determination the homotopy type of Diff (X) {\operatorname{Diff}(X)} for any compact, orientable, prime 3-manifold X.
Original language | English (US) |
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Pages (from-to) | 23-35 |
Number of pages | 13 |
Journal | Journal fur die Reine und Angewandte Mathematik |
Volume | 2024 |
Issue number | 806 |
DOIs | |
State | Published - Jan 1 2024 |
ASJC Scopus subject areas
- General Mathematics
- Applied Mathematics