Virtual vector bundles and graded Thom spectra
| Autor: | Sagave, Steffen, Schlichtkrull, Christian |
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| Rok vydání: | 2014 |
| Předmět: | |
| Zdroj: | Mathematische Zeitschrift 292 (2019), no. 3-4, 975-1016 |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1007/s00209-018-2131-0 |
| Popis: | We introduce a convenient framework for constructing and analyzing orthogonal Thom spectra arising from virtual vector bundles. This framework enables us to set up a theory of orientations and graded Thom isomorphisms with good multiplicative properties. The theory is applied to the analysis of logarithmic structures on commutative ring spectra. Comment: v3: 39 pages, minor revision. Accepted for publication in Mathematische Zeitschrift |
| Databáze: | arXiv |
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