The homotopy type of the space of diffeomorphisms. II

Burghelea, Dan; Lashof, Richard

doi:10.1090/S0002-9947-74-99951-6

The homotopy type of the space of diffeomorphisms. II
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by Dan Burghelea and Richard Lashof

Trans. Amer. Math. Soc. 196 (1974), 37-50

DOI: https://doi.org/10.1090/S0002-9947-74-99951-6

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Abstract:

The result (proved in Part I) that ${\operatorname {Diff}}({D^n},\partial ) \simeq {\Omega ^{n + 1}}({\text {PL}_n}/{O_n})$ is used to compute some new homotopy of ${\operatorname {Diff}}({D^n},\partial {D^n})$. The relation between smooth and PL pseudo-isotopy is explored. Known and new results on the homotopy of ${\text {PL}_n}$ are summarized.

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