Bott periodicity for fibred cusp operators
Author(s)Rochon, Frédéric, 1978-
Massachusetts Institute of Technology. Dept. of Mathematics.
Richard B. Melrose.
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In the framework of fibred cusp operators on a manifold X associated to a boundary fibration ... , the homotopy groups of the space ... 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 ...
Thesis (Ph. D.)--Massachusetts Institute of Technology, Dept. of Mathematics, 2005.This electronic version was submitted by the student author. The certified thesis is available in the Institute Archives and Special Collections.Includes bibliographical references (p. 81-82).
DepartmentMassachusetts Institute of Technology. Department of Mathematics
Massachusetts Institute of Technology