English

Formality of little disks and algebraic geometry

Algebraic Topology 2021-03-30 v1 Algebraic Geometry

Abstract

We construct a canonical chain of formality quasiisomorphisms for the operad of chains on framed little disks and the operad of chains on little disks. The construction is done in terms of logarithmic algebraic geometry and is remarkable for being rational (and indeed definable integrally) in de Rham cohomology.

Keywords

Cite

@article{arxiv.2103.15054,
  title  = {Formality of little disks and algebraic geometry},
  author = {Dmitry Vaintrob},
  journal= {arXiv preprint arXiv:2103.15054},
  year   = {2021}
}

Comments

33 pages