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- W2950871499 abstract "One can define what it means for a compact manifold with corners to be a manifold with contractible faces. Two combinatorially equivalent, contractible manifolds with contractible faces are diffeomorphic if and only if their 4-dimensional faces are diffeomorphic. It follows that two simple convex polytopes are combinatorially equivalent if and only if they are diffeomorphic as manifolds with corners. On the other hand, by a result of Akbulut, for each n > 3, there are smooth, contractible n-manifolds with contractible faces which are combinatorially equivalent but not diffeomorphic. Applications are given to rigidity questions for reflection groups and smooth torus actions." @default.
- W2950871499 created "2019-06-27" @default.
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- W2950871499 date "2013-06-25" @default.
- W2950871499 modified "2023-09-27" @default.
- W2950871499 title "When are two Coxeter orbifolds diffeomorphic" @default.
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