Bott Periodicity for Fibred Cusp Operators

نویسندگان

  • Frédéric Rochon
  • Richard B. Melrose
  • François Lalonde
چکیده

In the framework of fibred cusp operators on a manifold X associated to a boundary fibration Φ : ∂X → Y , the homotopy groups of the space G−∞ Φ (X;E) of invertible smoothing perturbations of the identity are computed in terms of the K-theory of T ∗Y . It is shown that there is a periodicity, namely the odd and the even homotopy groups are isomorphic among themselves. To obtain this result, one of the important steps is the description of the index of a Fredholm smoothing perturbation of the identity in terms of an associated K-class in K c (T ∗Y ). Thesis Supervisor: Richard B. Melrose Title: Professor of Mathematics

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تاریخ انتشار 2004