In this paper we begin the study of the (dual) Steenrod algebra of the motivic Witt cohomology spectrum H_Wℤ by determining the algebra structure of H_Wℤ∗∗H_Wℤ over fields k of characteristic not 2 which are extensions of fields F with K^M_2(F)/2=0. For example, this includes all fields of odd characteristic, as well as fields that are extensions of quadratically closed fields of characteristic 0. After inverting η, this computes the HW:=H_Wℤ[η−1]-algebra HW∗∗HW. In particular, for the given base fields, this implies the HW-module structure of HW∧HW recently computed by Bachmann and Hopkins.

Creator

• Burghardt, Viktor

DOI

• https://doi.org/10.21985/n2-jm77-sb52

Subject

• Mathematics

Language

• en

Alternate Identifier

• etdadmin_upload_904176
• http://dissertations.umi.com/northwestern:16112

Keyword

• K-Theory
• Motivic Homotopy Theory
• Witt Theory
• Algebraic Topology
• Algebraic Geometry

Date created

• 2022-01-01

Resource type

• Dissertation

Rights statement

• In Copyright