This is my interpretation of the chords, based on the multiple string sections 
throughout the song.

Capo 5

The chords throughout the song are:

Dm(Gm)         |x-x-0-2-3-1|

Fmaj7(A#maj7)  |x-x-3-2-1-0|

C(F)           |x-3-2-0-1-0|

G(C)           |3-2-0-0-0-3|

And the chords progression throughout the song is in the order of those chords:

Dm-Fmaj7-C-G

Here are the tabs:

Intro: (includes both violin and cello)
 Dm    Fmaj7      C      G         Dm    Fmaj7      C      G
|----------------|----------------|----------------|--------------03|
|----------------|----------------|----------------|----------------|
|----------------|----------------|----------------|----------------|
|----------------|------02----0---|----------------|------02----0---|
|0-----232-------|3---------------|0-----232-------|3---------------|
|----------------|----------------|----------------|----------------|

 Dm    Fmaj7      C      G         Dm    Fmaj7      C      G
|5--753-0--------|--------------03|5--753-0--------|----------------|
|--------------5-|53--------------|--------------5-|53--------------|
|----------------|----------------|----------------|----------------|
|----------------|----------------|----------------|--------------32|
|-------3------3-|----------------|-------3------3-|----------------|
|1---------------|3---------------|1---------------|3---------------|
(here it becomes distorted bass)
 Dm    Fmaj7      C      G         Dm    Fmaj7      C      G
|----------------|----------------|----------------|----------------|
|---------------0|1-1-------------|---------------0|1-1-------------|
|--------------2-|---2020---------|--------------2-|---2020---------|
|0--0023---------|--------------32|0--0023---------|----------------|
|----------------|----------------|----------------|----------------|
|----------------|----------------|----------------|----------------|
(Chris Martin's vocals come in)
 Dm    Fmaj7      C      G         Dm    Fmaj7      C      G
|----------------|----------------|----------------|----------------|
|---------------0|1-1-------------|---------------0|1-1-------------|
|--------------2-|---2020---------|--------------2-|---2020---------|
|0--0023---------|--------------32|0--0023---------|----------------|
|----------------|----------------|----------------|----------------|
|----------------|----------------|----------------|----------------|

Hook 1:

 Dm    Fmaj7      C      G         Dm    Fmaj7      C      G
|1-----0---------|0-----3---------|1-----0---------|0-----3---------|
|3-----1---------|1-----0---------|3-----1---------|1-----0---------|
|2-----2---------|0-----0---------|2-----2---------|0-----0---------|
|0-----3---------|2-----0---------|0-----3---------|2-----0---------|
|----------------|3-----2---------|----------------|3-----2---------|
|----------------|------3---------|----------------|------3---------|
When...girl.......she...world......but...reach......flew..sleep.....

 Dm    Fmaj7      C      G         Dm    Fmaj7      C      G
|1--1--0-----0---|0--0--3---3-3---|1--1--0-----0---|0--0--3---3-3---|
|3--3--1-----1---|1--1--0---0-0---|3--3--1-----1---|1--1--0---0-0---|
|2--2--2-----2---|0--0--0---0-0---|2--2--2-----2---|0--0--0---0-0---|
|0--0--3-----3---|2--2--0---0-0---|0--0--3-----3---|2--2--0---0-0---|
|----------------|3--3--2---2-2---|----------------|3--3--2---2-2---|
|----------------|------3---3-3---|----------------|------3---3-3---|
 para...

repeat various parts of intro through the rest of the song. (i.e. first part of intro in 
between hooks usually, hook 1 is the same of hook 2, the last two lines of the intro is 
hook 3, you should be able to know which part to use)

thank you! i hope this helps and please email me at BurtaciousD@hotmail.com for any suggestions.