Vol. 5, No. 2, 2020

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Witt and cohomological invariants of Witt classes

Nicolas Garrel

Vol. 5 (2020), No. 2, 213–248
Abstract

We describe all Witt invariants and mod 2 cohomological invariants of the functor In as combinations of fundamental invariants; this is related to the study of operations on mod 2 Milnor K-theory. We also study behaviour of these invariants with respect to products, restrictions, similitudes and ramification.

Keywords
cohomological invariants, Witt ring, fundamental ideal, Pfister forms, Witt invariants
Mathematical Subject Classification 2010
Primary: 11E81
Secondary: 12G05, 19D45
Milestones
Received: 24 May 2018
Revised: 22 November 2019
Accepted: 18 December 2019
Published: 20 June 2020
Authors
Nicolas Garrel
Department of Mathematical and Statistical Sciences
University of Alberta
Edmonton, AB
Canada