Vertical Genera

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Abstract

The classical construction of a genus on a closed manifold is extended to the case of families of manifolds parametrised by a space X. The genera considered here are built from certain generalised Pontryagin and Chern classes as maps from bordism cohomology to the singular cohomology of X.
Original languageEnglish
Article number103660
JournalJOURNAL OF GEOMETRY AND PHYSICS
Volume153
Early online date18 Apr 2020
DOIs
Publication statusPublished - Jul 2020

Keywords

  • Genera
  • Generalised characteristic classes
  • Index theory

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