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:

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 (x02220@1)            D (xx0232@1)         A (x02220@1)      ENow (022100@1)the Swan it floated on the English river
        A (x02220@1)            D (xx0232@1)        AAh (x02220@1)the Rose of High Romance it opened wide

A:-2--3--

  C#m (x13321@4)            F#m (244222@1)              D (xx0232@1)         AA (x02220@1)sun tanned woman yearned me through the summer
         E (022100@1)              D (xx0232@1)             Aand (x02220@1)the judges watched us from the other side