These are actually the chords from the cover of this song that Martha Wainwright did
on the 'Leonard Cohen: I'm Your Man' DVD/Sountrack. I haven't heard the real Leonard Cohen
but these chords should be similar.
They are picked in a waltzy kind of fashion, like:
[ Tab from: http://www.guitaretab.com/l/leonard-cohen/82144.html ]
e|----------------2--2---------------------------|
B|-----2--2-------3--3-------2--2--------0--0----|
G|-----2--2-------2--2-------2--2--------1--1----|
D|-----2--2----0-------------2--2--------2--2----|
A|--0---------------------0----------------------|
E|------------------------------------0----------|
A D A E
Now the Swan it floated on the English river
A D A
Ah the Rose of High Romance it opened wide
A:-2--3--
C#m F#m D A
A sun tanned woman yearned me through the summer
E D A
and the judges watched us from the other side