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In joint work with Elmanto, Hoyois, Khan and Sosnilo, we computed infinite$\mathbb{P}^1$-loop spaces of motivic Thom spectra, using the technique offramed correspondences. This result allows us to express non-negative$\mathbb{G}_m$-homotopy groups of motivic Thom spectra in terms of geometricgenerators and relations. Using this explicit description, we show that theunit map of the algebraic special linear cobordism spectrum induces anisomorphism on $\mathbb{G}_m$-homotopy sheaves.

The unit map of the algebraic special linear cobordism spectrum