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Showing 1 to 8 of 8 for “"ring spectra"”.
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Noncommutative ring spectra
Let A be an Ax ring spectrum. We give an explicit construction of topological Hochschild homology and cohomology of A using the Stasheff associahedra and another family of polyhedra called cyclohedra. Using this construction we can then study how THH(A) varies over the moduli space of AO structures …
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Units of Equivariant Ring Spectra
We then define the units of equivariant spectra in terms of equivariant Gamma-spaces. Thus showing that units of equivariant spectra are equivariant spectra.
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Andre-Quillen homology for simplicial algebras and ring spectra
… algebras, extending the classical notion for rings. This extension is also discussed by Goerss and Hopkins, however our statements are proven in a more explicit way. We are then further able to construct spectral sequences for Andre-Quillen homology like the spectral sequence for the …
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Multiplicative Structures on Brown–Peterson Spectra at Odd Primes
… does not admit the structure of an E₂₍ₚ^₂ ₊₂₎ ring spectrum and that there can be no map MU → BP of E₂ₚ₊₃ ring spectra for odd primes p. This extends results of Lawson at the prime 2.
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The algebraic K-theory of the chromatic filtration and the telescope conjecture
… the algebraic K-theory of certain coconnective ring spectra satisfying suitable regularity and flatness hypotheses with the K-theory of their pi₀. Using this and an extension of the Dundas--Goodwillie--McCarthy theorem to —1-connective ring spectra, we obtain a formula for the algebraic K-theory …
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On the higher Frobenius
… map generalizes to E[subscript infinity]-ring spectra the classical Frobenius endomorphism for rings in characteristic p. Our main result is that there is an action of the circle group on (a certain subcategory of) p-complete [subscript infinity]-rings whose monodromy is the higher …
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Derived mapping spaces as models for localizations by Jennifer E. French.
… an isomorphism between the unstable HF, Adams spectral sequence and the HIF, Goerss-Hopkins spectral sequence. The second part generalizes M. Mandell's model for p-adic homotopy theory to give a model for K(1)-localization. The main theorem gives a model for the K(1)- localization of an …
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Power Operations In The Kunneth And C_2-Equivariant Adams Spectral Sequences With Applications
<p>We construct Power operations in the K"unneth spectral sequence and the $C_2$ equivariant Adams spectral sequence. While the operations in the K"unneth spectral sequence are 0 in $Tor$, they still detect operations in the target of the spectral sequence. We then interpret these computations of …