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On diffeomorphisms of even-dimensional discs

Published 27 Jul 2020 in math.AT | (2007.13884v3)

Abstract: We determine $\pi_(BDiff_\partial(D{2n})) \otimes \mathbb{Q}$ for $2n \geq 6$ completely in degrees $ \leq 4n-10$, far beyond the pseudoisotopy stable range. Furthermore, above these degrees we discover a systematic structure in these homotopy groups: we determine them outside of certain "bands" of degrees.

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