English

The U(1)-topological elliptic genus is surjective

Algebraic Topology 2026-04-28 v1

Abstract

We show that the topological elliptic genus from the cobordism ring of SU-manifolds to topological Jacobi forms lifts to connective topological Jacobi forms, and that this lift is surjective in homotopy.

Cite

@article{arxiv.2604.22949,
  title  = {The U(1)-topological elliptic genus is surjective},
  author = {Tilman Bauer and Mayuko Yamashita},
  journal= {arXiv preprint arXiv:2604.22949},
  year   = {2026}
}

Comments

27 pages

R2 v1 2026-07-01T12:34:28.926Z