English

Minimal models, GT-action and formality of the little disk operad

Algebraic Topology 2014-09-25 v1 Quantum Algebra

Abstract

We give a new proof of formality of the operad of little disks. The proof makes use of an operadic version of a simple formality criterion for commutative differential graded algebras due to Sullivan. We see that formality is a direct consequence of the fact that the Grothendieck-Teichm\"uller group operates on the chain operad of little disks.

Keywords

Cite

@article{arxiv.1303.1448,
  title  = {Minimal models, GT-action and formality of the little disk operad},
  author = {Dan Petersen},
  journal= {arXiv preprint arXiv:1303.1448},
  year   = {2014}
}

Comments

6 pages, 1 figure