English

Line Bundle Twists for Unitary Bordism are Ghosts

Algebraic Topology 2025-08-20 v1 K-Theory and Homology

Abstract

We prove that the canonical twist ζ ⁣:K(Z,3)BGL1(MSpinc)\zeta \colon K(\mathbb{Z},3) \rightarrow BGL_1(MSpin^c) does not extend to a twist for unitary bordism by showing that every continuous map f ⁣:K(Z,3)BGL1(MU)f \colon K(\mathbb{Z},3) \rightarrow BGL_1(MU) loops to a null homotopic map.

Cite

@article{arxiv.2202.09919,
  title  = {Line Bundle Twists for Unitary Bordism are Ghosts},
  author = {Thorsten Hertl},
  journal= {arXiv preprint arXiv:2202.09919},
  year   = {2025}
}

Comments

12 pages, comments are welcome!

R2 v1 2026-06-24T09:46:50.957Z