Global ETD Search
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Showing 1 to 13 of 13 for “"ring spectrum"”.
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Motivic symmetric ring spectrum representing algebraic K-theory
Voevodsky showed that there is a motivic spectrum representing algebraic K-theory. We describe an equivalent spectrum that is also a symmetric ring spectrum. A coherence problem occurs when one verifies the symmetry. It is explained and solved by introducing a category of vector bundles with …
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Multiplicative Structures on Brown–Peterson Spectra at Odd Primes
We show that the odd-primary Brown-Peterson spectrum 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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MOTIVIC HOCHSCHILD HOMOLOGY
… quasi-separated scheme, such as the spectrum of a field k, and let SH(S) be Morel and Voevodski's stable motivic homotopy category over S. Let R be a motivic ring spectrum in SH(S); we define the motivic Hochschild homology of R via the derived tensor product: MHH(R)=R ∧_{R ∧ R^{op}} …
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Day convolution and the Hodge filtration on THH
… filtration on the topological Hochschild homolgy spectrum of a commutative ring spectrum and describe its elementary properties.
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cdh descent for homotopy Hermitian K-Theory of rings with involution
… groups of Hermitian vector bundles over a ring with involution with 2 invertible; this generalizes a result of Schlichting-Tripathi. We then prove a periodicity theorem for Hermitian K-theory and use it to construct an E-infinity motivic ring spectrum representing homotopy Hermitian …
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An infinite loop space structure for K-theory of bimonoidal categories
… to the algebraic K-theory space of the ring spectrum KR. In this thesis we show that K(R) is the group completion of the classifying space of the 2-category ModR of modules over R, and show that ModR is a symmetric monoidal 2-category. We explain how to use this symmetric monoidal …
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A motivic norm structure on equivariant algebraic K-theory
… algebraic $K$-theory is a normed motivic ring spectrum.
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Homotopy Topoi and Equivariant Elliptic Cohomology
… group G, and E-schemes, for an Einfinity-ring spectrum E , as full topological subcategories of the homotopy topoi associated to sheaves of spaces on certain small topological sites. This allows for a particularly elegant construction of the equivariant elliptic cohomology associated to an …
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Operads, modules and higher Hochschild cohomology
… higher Hochschild cohomology of the Lubin-Tate ring spectrum and prove a generalization of a theorem of Kontsevich and Soibelman about the action of higher Hochschild cohomology on factorization homology.
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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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From manifolds to invariants of En̳-algebras
… Hochschild homology of an associative ring spectrum A. These invariants also appear in the work of Jacob Lurie and Paolo Salvatore, where they are involved in a sort of non-abelian Poincare duality.
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A Theoretical and Experimental Investigation into the Spectra of Selected Resonators
… returned from a resonator, having an arbitary spectrum of resonances has been analysed. The results show that the system, which is of practical importance because of the separation of the signal transducer and the resonator being studied, can be used for a variety of material measurements. The …
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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 …