
diff -r 5234b7329042 -r 75f5c197a0d4 text/comm_alg.tex
--- a/text/comm_alg.tex	Sun Nov 01 20:29:33 2009 +0000
+++ b/text/comm_alg.tex	Sun Nov 01 20:29:41 2009 +0000
@@ -112,8 +112,8 @@
 \nn{probably should put a more precise statement about cyclic homology and $S^1$ actions in the Hochschild section}
 Let us check this directly.
 
-According to \nn{Loday, 3.2.2}, $HH_i(k[t]) \cong k[t]$ for $i=0,1$ and is zero for $i\ge 2$.
-\nn{say something about $t$-degree?  is this in [Loday]?}
+According to \cite[3.2.2]{MR1600246}, $HH_i(k[t]) \cong k[t]$ for $i=0,1$ and is zero for $i\ge 2$.
+\nn{say something about $t$-degree?  is this in Loday?}
 
 We can define a flow on $\Sigma^j(S^1)$ by having the points repel each other.
 The fixed points of this flow are the equally spaced configurations.
@@ -135,7 +135,7 @@
 0, $\z/j \z$ in odd degrees, and 0 in positive even degrees.
 The point $\Sigma^0(S^1)$ contributes the homology of $BS^1$ which is $\z$ in even 
 degrees and 0 in odd degrees.
-This agrees with the calculation in \nn{Loday, 3.1.7}.
+This agrees with the calculation in \cite[3.1.7]{MR1600246}.
 
 \medskip
 
@@ -150,7 +150,7 @@
 $\bc_*(M, k[t_1, \ldots, t_m])$ is homotopy equivalent to $C_*(\Sigma_m^\infty(M), k)$.
 \end{prop}
 
-According to \nn{Loday, 3.2.2},
+According to \cite[3.2.2]{MR1600246},
 \[
 	HH_n(k[t_1, \ldots, t_m]) \cong \Lambda^n(k^m) \otimes k[t_1, \ldots, t_m] .
 \]
@@ -186,7 +186,7 @@
 
 Still to do:
 \begin{itemize}
-\item compare the topological computation for truncated polynomial algebra with [Loday]
+\item compare the topological computation for truncated polynomial algebra with \cite{MR1600246}
 \item multivariable truncated polynomial algebras (at least mention them)
 \item ideally, say something more about higher hochschild homology (maybe sketch idea for proof of equivalence)
 \end{itemize}




