You have updated OS X to Mavericks and gedit is not working anymore? Normally this should be fixed with an update but 3.2.6 is the latest version and does not start on Mavericks.
Until a new version will arrive, there is a very simple solution if you have Macports, Homebrew, Fink or whatever. Below you will have the Macports solution (this is what I have installed):
1. install libxml2 version 2.9.1:
fmbp:~ root# port -v install py-libxml2
---> Computing dependencies for py-libxml2...
---> Dependencies to be installed: py24-libxml2 python24
---> Fetching archive for python24
---> python24-2.4.6_10.darwin_13.x86_64.tbz2 doesn't seem to exist in /opt/local/var/macports/incoming/verified
---> Attempting to fetch python24-2.4.6_10.darwin_13.x86_64.tbz2 from http://lil.fr.packages.macports.org/python24
% Total % Received % Xferd Average Speed Time Time Time Current
Dload Upload Total Spent Left Speed
100 8726k 100 8726k 0 0 377k 0 0:00:23 0:00:23 --:--:-- 373k
---> Attempting to fetch python24-2.4.6_10.darwin_13.x86_64.tbz2.rmd160 from http://lil.fr.packages.macports.org/python24
% Total % Received % Xferd Average Speed Time Time Time Current
Dload Upload Total Spent Left Speed
100 512 100 512 0 0 6920 0 --:--:-- --:--:-- --:--:-- 7013
---> Installing python24 @2.4.6_10
---> Activating python24 @2.4.6_10
---> Cleaning py24-libxml2
---> Removing work directory for py24-libxml2
---> Fetching archive for py-libxml2
---> py-libxml2-2.9.1_0.darwin_13.noarch.tbz2 doesn't seem to exist in /opt/local/var/macports/incoming/verified
---> Attempting to fetch py-libxml2-2.9.1_0.darwin_13.noarch.tbz2 from http://lil.fr.packages.macports.org/py-libxml2
% Total % Received % Xferd Average Speed Time Time Time Current
Dload Upload Total Spent Left Speed
100 1636 100 1636 0 0 9948 0 --:--:-- --:--:-- --:--:-- 9975
---> Attempting to fetch py-libxml2-2.9.1_0.darwin_13.noarch.tbz2.rmd160 from http://lil.fr.packages.macports.org/py-libxml2
% Total % Received % Xferd Average Speed Time Time Time Current
Dload Upload Total Spent Left Speed
100 512 100 512 0 0 6795 0 --:--:-- --:--:-- --:--:-- 6826
---> Installing py-libxml2 @2.9.1_0
---> Activating py-libxml2 @2.9.1_0
---> Cleaning py-libxml2
---> Removing work directory for py-libxml2
---> Updating database of binaries: 100.0%
---> Scanning binaries for linking errors: 100.0%
---> No broken files found.
2. Copy the file libxml2.2.dylib into the gedit application:
fmbp:~ root# cp /opt/local/lib/libxml2.2.dylib /Applications/gedit.app/Contents/Resources/lib/
3. Start gedit.app from your applications folder and magically will work! Easy, no?
