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Localization for $THH(ku)$ and the Topological Hochschild and Cyclic Homology of Waldhausen Categories (Paperback) Loot Price: R2,217
Discovery Miles 22 170
Localization for $THH(ku)$ and the Topological Hochschild and Cyclic Homology of Waldhausen Categories (Paperback): Andrew J....

Localization for $THH(ku)$ and the Topological Hochschild and Cyclic Homology of Waldhausen Categories (Paperback)

Andrew J. Blumberg, Michael A. Mandell

Series: Memoirs of the American Mathematical Society

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Loot Price R2,217 Discovery Miles 22 170 | Repayment Terms: R208 pm x 12*

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The authors develop a theory of $THH$ and $TC$ of Waldhausen categories and prove the analogues of Waldhausen's theorems for $K$-theory. They resolve the longstanding confusion about localization sequences in $THH$ and $TC$, and establish a specialized devissage theorem. As applications, the authors prove conjectures of Hesselholt and Ausoni-Rognes about localization cofiber sequences surrounding $THH(ku)$, and more generally establish a framework for advancing the Rognes program for studying Waldhausen's chromatic filtration on $A(*)$.

General

Imprint: American Mathematical Society
Country of origin: United States
Series: Memoirs of the American Mathematical Society
Release date: 2021
Authors: Andrew J. Blumberg • Michael A. Mandell
Dimensions: 254 x 178mm (L x W)
Format: Paperback
Pages: 100
ISBN-13: 978-1-4704-4178-4
Categories: Books > Science & Mathematics > Mathematics > Algebra > General
Books > Science & Mathematics > Mathematics > Geometry > Algebraic geometry
Books > Science & Mathematics > Mathematics > Topology > General
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LSN: 1-4704-4178-0
Barcode: 9781470441784

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