Paul Baum (Penn State University) ATIYAH-SINGER AS A COROLLARY OF BOTT PERIODICITY : PART 1 Sponsored by the Meyer Fund

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This talk will outline exactly how and why the Atiyah-Singer index theorem can be viewed as a corollary of Bott periodicity. The precise argument proceeds by introducing an abelian group K_0(.) obtained by considering pairs (M, E) where M is a closed Spin-c manifold and E is a a vector bundle on M. "Spin-c manifold" will be carefully defined. Most of the oriented manifolds which occur in practice are Spin-c. The above is joint work with Erik van Erp.