Autor: |
FABIAN HEBESTREIT, STEFFEN SAGAVE, CHRISTIAN SCHLICHTKRULL |
Jazyk: |
angličtina |
Rok vydání: |
2020 |
Předmět: |
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Zdroj: |
Forum of Mathematics, Sigma, Vol 8 (2020) |
Druh dokumentu: |
article |
ISSN: |
2050-5094 |
DOI: |
10.1017/fms.2020.11 |
Popis: |
In order to treat multiplicative phenomena in twisted (co)homology, we introduce a new point-set-level framework for parametrized homotopy theory. We provide a convolution smash product that descends to the corresponding $\infty$-categorical product and allows for convenient constructions of commutative parametrized ring spectra. As an immediate application, we compare various models for generalized Thom spectra. In a companion paper, this approach is used to compare homotopical and operator algebraic models for twisted $K$-theory. |
Databáze: |
Directory of Open Access Journals |
Externí odkaz: |
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