From the 1 of 6 linked papers with an AI index.
6 papers
The spectrum of strict units of topological modular forms
Zhenpeng Li, Kiran Luecke
The paper computes the strict units of the spectrum of topological modular forms, focusing on its connective cover as a mapping spectrum from the integers.
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…
p-adic congruences in iterated derivatives of the Weierstrass elliptic function
Kiran Luecke, Eric Peterson
We use homotopy theoretic methods to prove congruence relations of number theoretic interest. Specifically, we use the theory of complex orientations to establis…
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…
The spectrum of units of algebraic -theory
Shachar Carmeli, Kiran Luecke
It is well known that the and Postnikov truncations of the units of the topological -theories $\glone \KO$ and $\glone \KU$, respectively, are split, and that th…
A geometric model for mod bordism
Kiran Luecke
In this note I give a positive solution to Bullett's conjecture (posed in [1]) regarding a geometric presentation of the universal mod oriented ring spectrum.