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Mathematics > Algebraic Topology

Title: 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.
Comments: 43 pages, comments welcome
Subjects: Algebraic Topology (math.AT); Algebraic Geometry (math.AG)
MSC classes: 55N22, 57R85, 14L05, 55P91
Cite as: arXiv:2309.00850 [math.AT]
  (or arXiv:2309.00850v1 [math.AT] for this version)

Submission history

From: Lennart Meier [view email]
[v1] Sat, 2 Sep 2023 07:23:25 GMT (54kb)

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