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作者:Andrew J. Blumberg , Teena Gerhardt ...
来源:[J].Journal of Algebra(IF 0.583), 2019, Vol.537, pp.197-244Elsevier
摘要:Abstract(#br)We define twisted Hochschild homology for Green functors. This construction is the algebraic analogue of the relative topological Hochschild homology THH C n ( − ) , and under flatness conditions it describes the E 2 term of the Künneth spectral sequence for rel...
作者:Andrew J. Blumberg , Michael A. Hill
来源:[J].Advances in Mathematics(IF 1.373), 2015, Vol.285, pp.658-708Elsevier
摘要:Abstract(#br)We study homotopy-coherent commutative multiplicative structures on equivariant spaces and spectra. We define N ∞ operads, equivariant generalizations of E ∞ operads. Algebras in equivariant spectra over an N ∞ operad model homotopically commutative equivar...
作者:Andrew J. Blumberg , David Gepner , Gonçalo Tabuada
来源:[J].Advances in Mathematics(IF 1.373), 2014, Vol.260, pp.191-232Elsevier
摘要:Abstract(#br)Making use of the theory of noncommutative motives, we characterize the topological Dennis trace map as the unique multiplicative natural transformation from algebraic K -theory to topological Hochschild homology ( THH ) and the cyclotomic trace map as the uniqu...
作者:Andrew J. Blumberg
来源:[J].Journal of Pure and Applied Algebra(IF 0.534), 2006, Vol.210 (1), pp.29-41Elsevier
摘要:Abstract(#br)We construct a discrete model of the homotopy theory of S 1 -spaces. We define a category P with objects composed of a simplicial set and a cyclic set along with suitable compatibility data. P inherits a model structure from the model structures on the categories of ...
作者:Andrew J. Blumberg , Michael A. Mandell
来源:[J].Advances in Mathematics(IF 1.373), 2010, Vol.226 (4), pp.3760-3812Elsevier
摘要:Abstract(#br)We decompose the K -theory space of a Waldhausen category in terms of its Dwyer–Kan simplicial localization. This leads to a criterion for functors to induce equivalences of K -theory spectra that generalizes and explains many of the criteria appearing in the li...
作者:Andrew J. Blumberg , Itamar Gal ...
来源:[J].Foundations of Computational Mathematics(IF 1.918), 2014, Vol.14 (4), pp.745-789Springer
摘要:Abstract(#br)We study distributions of persistent homology barcodes associated to taking subsamples of a fixed size from metric measure spaces. We show that such distributions provide robust invariants of metric measure spaces and illustrate their use in hypothesis testing and pr...
作者:Andrew J. Blumberg , Michael A. Mandell
来源:[J].Acta Mathematica(IF 2.714), 2008, Vol.200 (2), pp.155-179Springer
摘要:Abstract(#br)We verify a conjecture of Rognes by establishing a localization cofiber sequence of spectra $K(\mathbb{Z})\to K(ku)\to K(KU) \to\Sigma K(\mathbb{Z})$ for the algebraic K -theory of topological K -theory. We deduce the existence of this sequence as a consequence ...
作者:Andrew J. Blumberg , Michael A. Mandell
来源:[J].Foundations of Computational Mathematics(IF 1.918), 2013, Vol.13 (6), pp.885-911Springer
摘要:Abstract(#br)This paper lays the foundations of an approach to applying Gromov’s ideas on quantitative topology to topological data analysis. We introduce the “contiguity complex”, a simplicial complex of maps between simplicial complexes defined in terms of the combina...
作者:Andrew J. Blumberg , Celeste V. Bailey ...
来源:[J].Cell Reports, 2014, Vol.9 (4), pp.1228-1234Elsevier
摘要:Summary(#br)Somatic mutations in cancer are more frequent in heterochromatic and late-replicating regions of the genome. We report that regional disparities in mutation density are virtually abolished within transcriptionally silent genomic regions of cutaneous squamous cell...
作者:Andrew J. Blumberg , Celeste V. Bailey ...
来源:[J].Cell Reports, 2014, Vol.9 (4), pp.1228-1234DOAJ
摘要:Somatic mutations in cancer are more frequent in heterochromatic and late-replicating regions of the genome. We report that regional disparities in mutation density are virtually abolished within transcriptionally silent genomic regions of cutaneous squamous cell carcinomas ...

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