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On automorphisms of high-dimensional solid tori

Accepted version
Peer-reviewed

Type

Article

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Authors

Bustamante, Mauricio 
Randal-Williams, Oscar  ORCID logo  https://orcid.org/0000-0002-7479-2878

Abstract

We study the infinite generation in the homotopy groups of the group of diffeomorphisms of SD2n−1, for 2n≥6, in a range of degrees up to n−2. Our analysis relies on understanding the homotopy fibre of a linearisation map from the plus-construction of the classifying space of certain space of self-embeddings of stabilisations of this manifold to a form of Hermitian K-theory of the integral group ring of π1(S1). We also show that these homotopy groups vanish rationally.

Description

Keywords

math.AT, math.AT, math.GT, 55R40, 58D10, 57S05

Journal Title

Geometry and Topology

Conference Name

Journal ISSN

1364-0380

Volume Title

Publisher

Mathematical Sciences Publishers (MSP)

Publisher DOI

Publisher URL

Sponsorship
European Research Council (756444)
Leverhulme Trust (PLP-2017-017)