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Some results on K-theory, topological Hochschild homology, and parameterized spectra

Author: Jonathan Alfred CampbellAndrew J BlumbergRalph L CohenGunnar CarlssonSøren GalatiusAll authors
Publisher: 2013.
Dissertation: Thesis (Ph.D.)--Stanford University, 2013.
Edition/Format:   Thesis/dissertation : Document : Thesis/dissertation : eBook   Computer File : English
Database:WorldCat
Summary:
This thesis comprises three separate papers. The first proves a duality result relating the topological Hochschild homology of a ring spectrum to the Spanier-Whitehead dual of the topological Hochschild homology of the Koszul dual ring spectrum. The second, proves an additivity result for the transfer A-theory of infinity topoi, as introduced by Barwick. The third presents partial results of joint work with John  Read more...
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Details

Material Type: Document, Thesis/dissertation, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Jonathan Alfred Campbell; Andrew J Blumberg; Ralph L Cohen; Gunnar Carlsson; Søren Galatius; Stanford University. Department of Mathematics.
OCLC Number: 848167366
Notes: Submitted to the Department of Mathematics.
Description: 1 online resource.
Responsibility: Jonathan Alfred Campbell.

Abstract:

This thesis comprises three separate papers. The first proves a duality result relating the topological Hochschild homology of a ring spectrum to the Spanier-Whitehead dual of the topological Hochschild homology of the Koszul dual ring spectrum. The second, proves an additivity result for the transfer A-theory of infinity topoi, as introduced by Barwick. The third presents partial results of joint work with John Lind. In the full joint paper we create a machine which has as input 2-Vector bundles and as output parameterized ku-modules.

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