The Galois groupoid of G-spectra is equivalent to the étale fundamental groupoid of the Burnside ring of G.
On the nonexistence of ele- ments of Kervaire invariant one
4 Pith papers cite this work. Polarity classification is still indexing.
4
Pith papers citing it
fields
math.AT 4verdicts
UNVERDICTED 4representative citing papers
Authors construct ring involution structures on quotients of Real bordism, orient Lubin-Tate theory via truncated Brown-Peterson spectra, and characterize equivalences after chromatic localization.
Introduces chromatic defect via X(n), computes it for key spectra, develops an obstruction theory, and shows Wood-like equivalences exist generally to construct Z-indexed Adams-Novikov towers.
Short proof of Real Snaith equivalences via Wilson spaces yields E6 orientations, recovers E2ρ-structure on Real BP, and computes THR(KUR) and THR(MUPR) using a norm-inverted variant via nilpotence.
citing papers explorer
-
The Galois theory of $G$-spectra and the Burnside ring
The Galois groupoid of G-spectra is equivalent to the étale fundamental groupoid of the Burnside ring of G.
-
Structured Quotients in Real Homotopy Theory
Authors construct ring involution structures on quotients of Real bordism, orient Lubin-Tate theory via truncated Brown-Peterson spectra, and characterize equivalences after chromatic localization.
-
Chromatic defect, Wood's theorem, and higher real $K$-theories
Introduces chromatic defect via X(n), computes it for key spectra, develops an obstruction theory, and shows Wood-like equivalences exist generally to construct Z-indexed Adams-Novikov towers.
-
Structured Real Snaith Equivalences
Short proof of Real Snaith equivalences via Wilson spaces yields E6 orientations, recovers E2ρ-structure on Real BP, and computes THR(KUR) and THR(MUPR) using a norm-inverted variant via nilpotence.