English

On the $\eta$-inverted sphere

Algebraic Topology 2018-01-10 v3

Abstract

It is shown that the first and second homotopy groups of the η\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.

Keywords

Cite

@article{arxiv.1602.08798,
  title  = {On the $\eta$-inverted sphere},
  author = {Oliver Röndigs},
  journal= {arXiv preprint arXiv:1602.08798},
  year   = {2018}
}

Comments

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

R2 v1 2026-06-22T12:59:34.318Z