The $\gamma$-filtration on the Witt ring of a scheme

Marcus Zibrowius

The $\gamma$-filtration on the Witt ring of a scheme

K-Theory and Homology 2016-08-12 v2

Authors: Marcus Zibrowius

Abstract

The K-ring of symmetric vector bundles over a scheme X, the so-called Grothendieck-Witt ring of X, can be endowed with the structure of a (special) $\lambda$ -ring. The associated $\gamma$ -filtration generalizes the fundamental filtration on the (Grothendieck-)Witt ring of a field and is closely related to the "classical" filtration by the kernels of the first two Stiefel-Whitney classes.

Keywords

grothendieck-witt ring $\lambda$-ring $\gamma$-filtration witt ring stiefel-whitney classes symmetric vector bundles schemes

Cite

@article{arxiv.1411.3198,
  title  = {The $\gamma$-filtration on the Witt ring of a scheme},
  author = {Marcus Zibrowius},
  journal= {arXiv preprint arXiv:1411.3198},
  year   = {2016}
}

Comments

33 pages; changes in this version: ring structure in example 5.3 and many typos corrected, some cosmetic changes

The $\gamma$-filtration on the Witt ring of a scheme

Abstract

Keywords

Cite

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