Index theory of Dirac operators on manifolds with corners up to codimension two
نویسندگان
چکیده
In this expository article, we survey index theory of Dirac operators using the Gauss-Bonnet formula as the catalyst to discuss index formulas on manifolds with and without boundary. Considered in detail are the Atiyah-Singer and Atiyah-Patodi-Singer index theorems, their heat kernel proofs, and their generalizations to manifolds with corners of codimension two via the method of ‘attaching cylindrical ends’.
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