Abstract Goerss-Hopkins theory
نویسندگان
چکیده
We present an abstract version of Goerss-Hopkins theory in the setting a prestable ?-category equipped with suitable periodicity operator. In case synthetic spectra, this yields obstructions to realizing comodule algebra as homology commutative ring spectrum, recovering results Goerss and Hopkins.
منابع مشابه
On Hopkins’ Picard Groups for the Prime 3 and Chromatic Level 2 Paul Goerss, Hans-werner Henn, Mark Mahowald and Charles Rezk
We give a calculation of Picard groups Pic2 of K(2)-local invertible spectra and Pic(L2) of E(2)-local invertible spectra, both at the prime 3. The main contribution of this paper is to calculation the subgroup κ2 of invertible spectra X with (E2)∗X ∼= (E2)∗S as continuous modules over the Morava stabilizer group G2.
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ژورنال
عنوان ژورنال: Advances in Mathematics
سال: 2022
ISSN: ['1857-8365', '1857-8438']
DOI: https://doi.org/10.1016/j.aim.2021.108098