A characteristic map for the holonomy groupoid of a foliation

30 Dec 2019 MacDonald Lachlan

We prove a generalisation of Bott's vanishing theorem for the full transverse frame holonomy groupoid of any transversely orientable foliated manifold. As a consequence we obtain a characteristic map encoding both primary and secondary characteristic classes... (read more)

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Categories


  • DIFFERENTIAL GEOMETRY
  • ALGEBRAIC TOPOLOGY
  • DYNAMICAL SYSTEMS