Detecting exotic spheres in low dimensions using coker J

M. Behrens; M. Hill; M. J. Hopkins; M. Mahowald

doi:10.1112/jlms.12301

Detecting exotic spheres in low dimensions using coker J

M. Behrens, M. Hill, M. J. Hopkins, M. Mahowald

Research output: Contribution to journal › Article › peer-review

9 Scopus citations

Abstract

Building off of the work of Kervaire–Milnor and Hill–Hopkins–Ravenel, Wang and Xu showed that the only odd dimensions (Formula presented.) for which (Formula presented.) has a unique differentiable structure are 1, 3, 5, and 61. We show that the only even dimensions below 140 for which (Formula presented.) has a unique differentiable structure are 2, 6, 12, 56, and perhaps 4.

Original language	English (US)
Pages (from-to)	1173-1218
Number of pages	46
Journal	Journal of the London Mathematical Society
Volume	101
Issue number	3
DOIs	https://doi.org/10.1112/jlms.12301
State	Published - Jun 1 2020
Externally published	Yes

Bibliographical note

Publisher Copyright:
© 2020 The Authors. The publishing rights in this article are licensed to the London Mathematical Society under an exclusive licence.

Keywords

55N34
55Q45
55Q51
55T15 (secondary)
57R55
57R60 (primary)

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10.1112/jlms.12301

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AU - Hill, M.

AU - Hopkins, M. J.

AU - Mahowald, M.

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N2 - Building off of the work of Kervaire–Milnor and Hill–Hopkins–Ravenel, Wang and Xu showed that the only odd dimensions (Formula presented.) for which (Formula presented.) has a unique differentiable structure are 1, 3, 5, and 61. We show that the only even dimensions below 140 for which (Formula presented.) has a unique differentiable structure are 2, 6, 12, 56, and perhaps 4.

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KW - 57R60 (primary)

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ER -

Detecting exotic spheres in low dimensions using coker J

Abstract

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Keywords

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