English

A homotopy-theoretic context for CKM/Birkhoff renormalization

Algebraic Topology 2023-10-20 v6

Abstract

We propose a geometric object slightly subtler than a complex line bundle with connection, a two-sphere fibration with structure group Ωe2S2\Omega^2_e S^2, to parametrize a space of dimensional regularizations in the metaphysics of renormalization theory. Comments, corrections, advice and suggestions are very welcome. To be continued.

Keywords

Cite

@article{arxiv.2307.10148,
  title  = {A homotopy-theoretic context for CKM/Birkhoff renormalization},
  author = {Jack Morava},
  journal= {arXiv preprint arXiv:2307.10148},
  year   = {2023}
}

Comments

Digressions further extended, some ambiguities perhaps clarified; apologies for opacity. An interpretation in terms of level structures on simplicial homology manifolds (digression iv^*) has been added

R2 v1 2026-06-28T11:34:54.761Z