A Cellular Absolute Motivic Ring Spectrum Representing Hermitian K -Theory

Key Points

• The aim is to demonstrate that a constructed cellular absolute motivic spectrum matches another known motivic ring spectrum representing hermitian K-theory.
• Utilized the geometry of orthogonal and hyperbolic Grassmannians over the scheme S.
• Examined candidates within the motivic stable homotopy category.
• The constructed cellular absolute motivic spectrum aligns with the motivic ring spectrum reported in prior works.
• Demonstrates a significant equivalence in theories of hermitian K-theory.