diff -r d2c073d785fd -r 0bd4aca0546b pnas/pnas.tex --- a/pnas/pnas.tex Wed Oct 27 21:36:29 2010 +0900 +++ b/pnas/pnas.tex Sun Oct 31 20:15:44 2010 +0900 @@ -599,7 +599,9 @@ this implies that the little $n{+}1$-balls operad acts on blob cochains of the $n$-ball. \end{thm} -An $n$-dimensional surgery cylinder is an alternating sequence of mapping cylinders and surgeries, modulo changing the order of distant surgeries, and conjugating the submanifold not modified in a surgery by a homeomorphism. See Figure \ref{delfig2}. Surgery cylinders form an operad, by gluing the outer boundary of one cylinder into an inner boundary of another. +An $n$-dimensional surgery cylinder is an alternating sequence of mapping cylinders and surgeries, modulo changing the order of distant surgeries, and conjugating a submanifold not modified in a surgery by a homeomorphism. See Figure \ref{delfig2}. Surgery cylinders form an operad, by gluing the outer boundary of one cylinder into an inner boundary of another. + + \todo{Explain blob cochains} \todo{Sketch proof}