On the $\eta$-inverted sphere

Abstract

It is shown that the first and second homotopy groups of the $\eta$-inverted sphere spectrum over a field of characteristic not two are zero. A cell presentation of higher Witt theory is given as well, at least over the complex numbers.

19 pages, to appear in the TIFR Proceedings of the International Colloquium on K-theory 2016

Cited by in corpus (1)

• Slices of hermitian K-theory and Milnor's conjecture on quadratic forms