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Milnor–Witt Motives

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This work defines Milnor–Witt motives and cohomology, highlighting ties to K-theory and homotopy implications.

The development of Milnor–Witt motives integrates a new definition of finite correspondences, enhancing the theory.
We establish a cancellation theorem involving the Tate object, crucial for understanding motive transformations.
The comparison between Milnor–Witt motivic cohomology and K-theory reveals significant structural insights.
Our framework provides spectra representing various versions of motivic cohomology in relation to stable homotopy categories.

Bachmann et al. (2025) studied this question.

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