Virtual vector bundles and graded Thom spectra

  • Steffen Sagave
  • Christian Schlichtkrull


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.



The authors would like to thank the referee for useful comments on the paper.


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© Springer-Verlag GmbH Germany, part of Springer Nature 2018

Authors and Affiliations

  1. 1.Radboud University Nijmegen, IMAPPNijmegenThe Netherlands
  2. 2.Department of MathematicsUniversity of BergenBergenNorway

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