Some new nonimmersion results for real projective spaces

Abstract

We use the spectrum tmf to obtain new nonimmersion results for many real projective spaces RPn 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. Our new theorem is new for 17% of the values of n between 2i and 2i + 214 for i > 14.

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