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math.AT2025
A multiplicative version of the tom Dieck splitting
Andrew J. Blumberg, Michael A. Mandell
While the classical tom Dieck splitting in equivariant stable homotopy theory is typically regarded as a formula for suspension spectra in the genuine equivariant stable category,…
math.AT2024
The homotopy theory of cyclotomic spectra, 10 years later
Andrew J. Blumberg, Michael A. Mandell
This paper studies the foundations of the geometric fixed point functor in multiplicative equivariant stable homotopy theory. We introduce a new class of equivariant orthogonal spe…