--- a/pnas/pnas.tex	Tue Feb 08 07:27:53 2011 -0800
+++ b/pnas/pnas.tex	Tue Feb 08 13:15:46 2011 -0800
@@ -413,7 +413,7 @@
 Long exact sequences are important computational tools in these theories,
 and also in Khovanov homology, but the colimit construction breaks exactness.
 For these reasons and others, it is desirable to 
-extend to above framework to incorporate ideas from derived categories.
+extend the above framework to incorporate ideas from derived categories.
 
 One approach to such a generalization might be to simply define a
 TQFT via its gluing formulas, replacing tensor products with