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arXiv · 2606.25898

Structured Quotients in Real Homotopy Theory

Ryan Quinn·Qi Zhu
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Abstract

We equip quotients of Real bordism with the structure of a ring involution, an important source of examples being the truncated Real Brown-Peterson spectra. Motivated by this, we orient Lubin-Tate theory by higher truncated Brown-Peterson spectra, which is a key input for Meier-Shi-Zeng's transchromatic isomorphism theorem. We use these orientations to characterize the higher truncated Brown-Peterson spectra that are equivalent to a form of Lubin-Tate theory after chromatic localization.

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Ryan Quinn, Qi Zhu. 2026-06-24. Structured Quotients in Real Homotopy Theory. https://arxiv.org/abs/2606.25898

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