English

The dga of planar loops when $2n=4$

Algebraic Topology 2025-11-20 v1 Representation Theory

Abstract

The dga of planar loops was introduced in recent work of the author, Boyd, Randal-Williams, and Sroka, where a minimal model for it was given. This dga enjoys two natural `reflection' involutions. In the first nontrivial case, 2n=42n=4, we give a new model which incorporates these involutions, as well as a more explicit description of the existing model.

Cite

@article{arxiv.2511.15653,
  title  = {The dga of planar loops when $2n=4$},
  author = {Guy Boyde},
  journal= {arXiv preprint arXiv:2511.15653},
  year   = {2025}
}

Comments

20 pages, comments welcome!