Nonimmersions of real projective spaces and tmf

Nonimmersions of real projective spaces and tmf

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Don Davis, Lehigh University
Fine Hall 314

We use the spectrum tmf to obtain new nonimmersion results for many real projective spaces RP^n for n as small as 113. The only new ingredient is some new calculations of tmf-cohomology groups. We present an expanded table of nonimmersion results. We also present several questions about tmf.