id	author	title	date	pages	extension	mime	words	sentence	flesch	summary	cache	txt
3j333199t13	Santosh Kandel	Examples of Riemannian Functorial Quantum Field Theory	2014		.txt	text/plain	130	5	42	Following Atiyah, Segal, Kontsevich and others, a $d$-dimensional Riemannian Functorial Quantum Field Theory $E$ assigns to a closed $d-1$ dimensional oriented Riemannian manifold a Hilbert space $E(Y)$ and to a bordism $Sigma$ from $Y_1$ to $Y_2$(which is a compact oriented Riemannian manifold with $partialSigma=Y_2sqcup overline{Y_1}$) a Hilbert-Schmidt operator $E(Sigma):E(Y_1) If we forget the Riemannian structure on the $Y$'s and the bordisms, then there are many examples which are known has Topological Quantum Field Theories.	cache/3j333199t13.txt	txt/3j333199t13.txt