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 [Contemp. Math. 239 (1999) 365–373]. However, we prove that the operad obtained at the second stage differs from the homology of the Swiss-cheese operad.
Citation
Eduardo Hoefel. Muriel Livernet. "On the spectral sequence of the Swiss-cheese operad." Algebr. Geom. Topol. 13 (4) 2039 - 2060, 2013. https://doi.org/10.2140/agt.2013.13.2039
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