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math.DG2005★ 2 cited
Index in K-theory for families of fibred cusp operators
Richard B. Melrose, Frederic Rochon
A families index theorem in K-theory is given for the setting of Atiyah, Patodi and Singer of a family of Dirac operators with spectral boundary condition. This result is deduced f…
math.DG2004★ 1 cited
Bott Periodicity for Fibred Cusp Operators
Frederic Rochon
In the framework of fibred cusp operators on a manifold associated to a boundary fibration $Φ: \pa X\to Y$, the homotopy groups of the space of invertible smoothing perturbatio…
math.DG2003★ 3 cited
Families Index for Pseudodifferential Operators on Manifolds with Boundary
Richard Melrose, Frederic Rochon
An analytic index is defined for a family of cusp pseudodifferential operators, on a fibration with fibres which are compact manifolds with boundaries, provided the family i…