Stable operations and cooperations in derived Witt theory with rational coefficients

Abstract

The algebras of stable operations and cooperations in derived Witt theory with rational coefficients are computed and an additive description of cooperations in derived Witt theory is given. The answer is parallel to the well-known case of K-theory of real vector bundles in topology. In particular, we show that stable operations in derived Witt theory with rational coefficients are given by the values on the powers of Bott element.

37 pages, typos corrected, minor changes in exposition. To appear in the Annals of K-theory

References in corpus (5)

• Hermitian K-theory, derived equivalences and Karoubi's Fundamental Theorem
• The Witt group of real algebraic varieties
• The special linear version of the projective bundle theorem
• Witt sheaves and the $\eta$-inverted sphere spectrum
• Geometric models for higher Grothendieck-Witt groups in A1-homotopy theory

Cited by in corpus (1)

• The stable Adams operations on Hermitian K-theory