An Equivariant Version of Hatcher's G/O Construction

Abstract

We explicitly construct generators of the rational homotopy groups of the space of stable h-cobordisms of the classifying space of a cyclic group of order n by generalizing a construction of Hatcher. This result will be used in a separate paper by the third author to classify axiomatic higher twisted torsion invariants.

22 pages, 1 figure, Revised version following referee comments, accepted for publication by the Journal of Topology

References in corpus (1)

• Axioms for higher torsion invariants of smooth bundles

Cited by in corpus (4)

• Spaces of smooth embeddings and configuration categories
• Axioms for Higher Twisted Torsion Invariants of Smooth Bundles
• Duality and vanishing theorems for topologically trivial families of smooth h-cobordisms
• Sinha's spectral sequence for long knots in codimension one and non-formality of the little 2-disks operad