Invariant prime ideals in equivariant Lazard rings

Abstract

Let $A$ be an abelian compact Lie group. In this paper we compute the spectrum of invariant prime ideals of the $A$-equivariant Lazard ring, or equivalently the spectrum of points of the moduli stack of $A$-equivariant formal groups. We further show that this spectrum is homeomorphic to the Balmer spectrum of compact $A$-spectra, with the comparison map induced by equivariant complex bordism homology.

45 pages. Final version to appear in Geometry & Topology. Includes many small corrections and improvements compared to v1

References in corpus (5)

• The spectrum of the equivariant stable homotopy category of a finite group
• On the Balmer spectrum for compact Lie groups
• An equivariant Quillen theorem
• Non-adic formal schemes
• Global homotopy theory via partially lax limits