English

The Dupont Homotopy Formula and Stellar Subdivision

Algebraic Topology 2020-07-03 v2 Mathematical Physics math.MP

Abstract

The Dupont homotopy, a classical construction in the algebraic topology of triangulated smooth manifolds, has been revived in the last decade in the construction of an effective field theory where it appears as a propagator. In this paper, we ask a question of relevance to the renormalization group of this theory: is Dupont's construction compatible with stellar subdivision?

Keywords

Cite

@article{arxiv.1902.00627,
  title  = {The Dupont Homotopy Formula and Stellar Subdivision},
  author = {Benjamin I. Albert},
  journal= {arXiv preprint arXiv:1902.00627},
  year   = {2020}
}

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30 pages