A CELLULAR ABSOLUTE MOTIVIC RING SPECTRUM REPRESENTING HERMITIAN K -THEORY

Journal of the Institute of Mathematics of Jussieu 2026 Open access

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Authors: K. Arun Kumar, Oliver Röndigs
DOI: 10.1017/s1474748026101777
Cited by: 0
References: 16

Abstract

Abstract In the Morel-Voevodsky motivic stable homotopy category of a quasi-compact quasi-separated scheme S , several candidates exist for a motivic spectrum representing hermitian K -theory. This note shows that the cellular absolute motivic spectrum constructed in [9] via the geometry of orthogonal and hyperbolic Grassmannians over S coincides with the motivic ring spectrum constructed in [4].

Fields of Study & Subjects

Advanced Algebra and Geometry Algebraic Geometry and Number Theory Homotopy and Cohomology in Algebraic Topology

Publication details

Journal / source
Journal of the Institute of Mathematics of Jussieu
Publisher
Cambridge University Press (CUP)
Volume
25
Issue
4
Pages
2137–2145
Publication date
11 June 2026
Language
EN