An index theorem for manifolds with boundary

Mathematics – K-Theory and Homology

Scientific paper

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6 pages. Preprint submitted to the Academie des Sciences

Scientific paper

In his book (II.5), Connes gives a proof of the Atiyah-Singer index theorem
for closed manifolds by using deformation groupoids and appropiate actions of
these on R^N. Following these ideas, we prove an index theorem for manifolds
with boundary.

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