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An HKR Theorem for Factorization Homology

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posted on 2024-05-09, 16:51 authored by Hari M Rau-Murthy
We prove a Hochschild-Kostant-Rosenberg theorem (``the HKR theorem'') which computes the factorization homology of certain smooth commutative ring spectra. In doing so we fix and generalize a THH computation which was first conceived as the brainchild of McCarthy-Minasian. Included also is a direct application of our revised HKR theorem to the higher THH of rational $KU$.

History

Date Created

2024-04-15

Date Modified

2024-05-09

Defense Date

2023-07-03

CIP Code

  • 27.0101

Research Director(s)

Mark Behrens

Committee Members

Stephan Stolz|Laurence Taylor|Christopher Schommer-Pries

Degree

  • Doctor of Philosophy

Degree Level

  • Doctoral Dissertation

Language

  • English

Library Record

006584561

OCLC Number

1433094225

Publisher

University of Notre Dame

Program Name

  • Mathematics

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