Structured Quotients in Real Homotopy Theory
arXiv:2606.25898
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.
25 pages, comments very welcome!