# HG changeset patch # User Scott Morrison # Date 1288162593 25200 # Node ID 7b4a57110e837cf0397f62539be4167ecbe4270f # Parent 4e6f00784bd355d11a821d14b4910bb68a7b87aa oops, missing paren in deligne.tex diff -r 4e6f00784bd3 -r 7b4a57110e83 text/deligne.tex --- a/text/deligne.tex Tue Oct 26 23:47:07 2010 -0700 +++ b/text/deligne.tex Tue Oct 26 23:56:33 2010 -0700 @@ -12,7 +12,7 @@ %Different versions of the geometric counterpart of Deligne's conjecture have been proven by Tamarkin [``Formality of chain operad of small squares'', preprint, http://arXiv.org/abs/math.QA/9809164], the reviewer [in Confˇrence Moshˇ Flato 1999, Vol. II (Dijon), 307--331, Kluwer Acad. Publ., Dordrecht, 2000; MR1805923 (2002d:55009)], and J. E. McClure and J. H. Smith [``A solution of Deligne's conjecture'', preprint, http://arXiv.org/abs/math.QA/9910126] (see also a later simplified version [J. E. McClure and J. H. Smith, ``Multivariable cochain operations and little $n$-cubes'', preprint, http://arXiv.org/abs/math.QA/0106024]). The paper under review gives another proof of Deligne's conjecture, which, as the authors indicate, may be generalized to a proof of a higher-dimensional generalization of Deligne's conjecture, suggested in [M. Kontsevich, Lett. Math. Phys. 48 (1999), no. 1, 35--72; MR1718044 (2000j:53119)]. -The usual Deligne conjecture (proved variously in \cite{MR1805894, MR2064592, hep-th/9403055, MR1805923} gives a map +The usual Deligne conjecture (proved variously in \cite{MR1805894, MR2064592, hep-th/9403055, MR1805923}) gives a map \[ C_*(LD_k)\otimes \overbrace{Hoch^*(C, C)\otimes\cdots\otimes Hoch^*(C, C)}^{\text{$k$ copies}} \to Hoch^*(C, C) .