English

Elliptic cohomology is unique up to homotopy

Algebraic Topology 2022-12-20 v1

Abstract

Homotopy theory folklore tells us that the sheaf defining the cohomology theory Tmf of topological modular forms is unique up to homotopy. Here we provide a proof of this fact, although we claim no originality for the statement. This retroactively reconciles all previous constructions of Tmf.

Keywords

Cite

@article{arxiv.2106.07676,
  title  = {Elliptic cohomology is unique up to homotopy},
  author = {Jack Morgan Davies},
  journal= {arXiv preprint arXiv:2106.07676},
  year   = {2022}
}

Comments

18 pages, comments are very welcome