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arXiv · 1410.4492

Virtual vector bundles and graded Thom spectra

Steffen Sagave·Christian Schlichtkrull
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Abstract

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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Steffen Sagave, Christian Schlichtkrull. 2018-06-26. Virtual vector bundles and graded Thom spectra. https://doi.org/10.1007/s00209-018-2131-0

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