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math.AT2025
Tate-valued Characteristic Classes II: Applications
Shachar Carmeli, Kiran Luecke
We present a construction that manufactures $\E_\infty$ orientations of Tate fixed-point objects together with useful formulas for these maps, and then give a number of application…
math.AT2025
Tate-valued Characteristic Classes
Shachar Carmeli, Kiran Luecke
We define a projective variant of classical complex orientation theory. Using this, we construct a map of spectra which lifts the total Chern class, providing an alternative answer…