Virtual vector bundles and graded Thom spectra
classification
🧮 math.AT
keywords
spectrathombundlesframeworkgradedtheoryvectorvirtual
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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.
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