Localization Theorems in Topological Hochschild Homology and Topological Cyclic Homology
نویسندگان
چکیده
We construct localization cofiber sequences for the topological Hochschild homology (THH) and topological cyclic homology (TC) of spectral categories. Using a “global” construction of the THH and TC of a scheme in terms of the perfect complexes in a spectrally enriched version of the category of unbounded complexes, the sequences specialize to localization cofiber sequences associated to the inclusion of an open subscheme. These are the targets of the cyclotomic trace from the localization sequence of ThomasonTrobaugh in K-theory. We also deduce a version of Thomason’s blow-up formula for THH and TC.
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تاریخ انتشار 2008