Geometry & Topology
- Geom. Topol.
- Volume 20, Number 3 (2016), 1611-1624.
The strong Kervaire invariant problem in dimension $62$
Using a Toda bracket computation due to Daniel C Isaksen, we investigate the –stem more thoroughly. We prove that using a –fold Toda bracket. By work of Barratt, Jones and Mahowald, this implies that exists and there exists a such that . Based on , we simplify significantly their –cell complex construction to a –cell complex, which leads to another proof that exists.
Geom. Topol., Volume 20, Number 3 (2016), 1611-1624.
Received: 4 November 2014
Accepted: 18 July 2015
First available in Project Euclid: 16 November 2017
Permanent link to this document
Digital Object Identifier
Mathematical Reviews number (MathSciNet)
Zentralblatt MATH identifier
Primary: 55Q45: Stable homotopy of spheres
Xu, Zhouli. The strong Kervaire invariant problem in dimension $62$. Geom. Topol. 20 (2016), no. 3, 1611--1624. doi:10.2140/gt.2016.20.1611. https://projecteuclid.org/euclid.gt/1510858998