Loop-fusion cohomology and transgression

  title={Loop-fusion cohomology and transgression},
  author={Chris Kottke and Richard B. Melrose},
  journal={Mathematical Research Letters},
  • Chris Kottke, Richard B. Melrose
  • Published 2015
  • Mathematics
  • Mathematical Research Letters
  • `Loop-fusion cohomology' is defined on the continuous loop space of a manifold in terms of \vCech cochains satisfying two multiplicative conditions with respect to the fusion and figure-of-eight products on loops. The main result is that these cohomology groups, with coefficients in an abelian group, are isomorphic to those of the manifold and the transgression homomorphism factors through the isomorphism. 


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