On the Spectral Sequence of the Swiss-cheese Operad
Algebraic Topology
2014-10-01 v1 Quantum Algebra
Abstract
We prove that the homology of the Swiss-cheese operad is a Koszul operad. As a consequence, we obtain that the spectral sequence associated to the stratification of the compactification of points on the upper half plane collapses at the second stage, proving a conjecture by A. Voronov. However, we prove that the operad obtained at the second stage differs from the homology of the Swiss-cheese operad.
Keywords
Cite
@article{arxiv.1209.6122,
title = {On the Spectral Sequence of the Swiss-cheese Operad},
author = {Eduardo Hoefel and Muriel Livernet},
journal= {arXiv preprint arXiv:1209.6122},
year = {2014}
}
Comments
14 pages, 1 figure