5 papers · 1 filter
The spectrum of strict units of topological modular forms
Zhenpeng Li, Kiran Luecke
In the theory of spectral algebraic geometry, few objects receive as much study as the spectrum of topological modular forms. In this paper, we compute the strict units of topologi…
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…
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…
There aren't that many Morava E-theories
Kiran Luecke, Eric Peterson
Let be a perfect field of characteristic . Associated to any (1-dimensional, commutative) formal group law of finite height over there is a complex oriented cohomolo…
A short geometric derivation of the dual Steenrod algebra
Kiran Luecke
This two-page note gives a non-computational derivation of the dual Steenrod algebra as the automorphisms of the formal additive group. Instead of relying on computational tools li…