English

Some new nonimmersion results for real projective spaces

Algebraic Topology 2011-01-31 v1

Abstract

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. Our new theorem is new for 17% of the values of n between 2^i and 2^i + 2^14 for i > 14.

Cite

@article{arxiv.1101.5573,
  title  = {Some new nonimmersion results for real projective spaces},
  author = {Donald M. Davis},
  journal= {arXiv preprint arXiv:1101.5573},
  year   = {2011}
}

Comments

10 pages

R2 v1 2026-06-21T17:18:28.900Z