The intro has you 'tapping' out these shapes with your thumb* and forefinger:
E|-------------------------------------------|
B|-------------------------------------------|
G|--9-----7-----11---------------------------|
D|--0-----0-----0----------------------------|
A|--x-----x-----x----------------------------|
E|--9*----7*----12*--------------------------|

The second time though you let the 7th fret shape ring out then strum UP
the guitar a D chord (000230) which then continues.

Then the verse chords are finger picked in typical Mumford style - the chords
are below, you can work out the pattern by ear:

D -  000230
A -  x02222
Bm - x24432
G -  5x0400

[Verse 1]
     D         A        Bm                     A           G        Bm
"You hold your truth so purely, but swerve not through the minds of men..
              A
..this lie is dead"

This pattern continues, before it then goes back to the intro bit. Then, the
chorus uses the same chord shapes shown previously but now you're strumming:

[Verse 2]
G               D             A                       D
Whispers in the dark, steal a kiss and you'll break a heart
             G                     D                A                D
Pick up your clothes and curl your toes, learn your lesson, leave me whole
         G             D              A       D
Spare my shins for the ark, I was too slow to depart
      G                 D              A                D
I'm a cad but I'm not a fraud, I'd set out to serve the lord
A         D          G                 D
...And my heart, was colder when you'd gone
A                D         G                    D
...And I lost my head, but found the one that I loved

Then the "Under this sun" part uses these shapes:
E|--0---0----0---0---0--0----|
B|--0---0----0---0---0--3----|
G|--9---11---9---11--6--2----|
D|--0---0----0---0---0--0----|
A|--x---x----x---x---x--0----|
E|--9---12---9---12--7--0----|