English

OCHA and the swiss-cheese operad

Quantum Algebra 2009-04-29 v5 Algebraic Topology

Abstract

In this paper we show that the relation between Kajiura-Stasheff's OCHA and A. Voronov's swiss-cheese operad is analogous to the relation between SH Lie algebras and the little discs operad. More precisely, we show that the OCHA operad is quasi-isomorphic to the operad of top-dimensional homology classes of the swiss-cheese operad.

Cite

@article{arxiv.0710.3546,
  title  = {OCHA and the swiss-cheese operad},
  author = {Eduardo Hoefel},
  journal= {arXiv preprint arXiv:0710.3546},
  year   = {2009}
}

Comments

26 pages; 5 figures; v4: exposition improved, inaccuracies corrected, to appear in JHRS

R2 v1 2026-06-21T09:33:40.663Z