Abstract
In this paper we extend the results obtained in [9], [10] to manifolds with Spin C -structures defined, near the boundary, by an almost complex structure. We show that on such a manifold with a strictly pseudoconvex boundary, there are modified ¯ ∂-Neumann boundary conditions defined by projection operators, R eo , which give subelliptic Fredholm problems for the Spin C -Dirac operator, ð eo . We introduce a generalization of Fredholm pairs to the “tame” category. In this context, we show that the index of the graph closure of (ð eo , R eo ) equals
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