This is my first tab and I think it's accurate from what has been heard of the song so far
G|--------|
D|--------|
A|7-7-----|
E|----5-5-| x2

G|----------16--14--13-------------------------------|
D|---------------------------------------------------|
A|--7------------------------------------------------|
E|---------------------------------------------------| x8

G|------16--16|
D|181818--18--|
A|------------|
E|------------| x8

G|----------16--14--13-------------------------------|
D|---------------------------------------------------|
A|--7------------------------------------------------|
E|---------------------------------------------------| x8

G|---------|
D|---------|
A|7-7---4-2|
E|----5----| x2

G|------16--16|
D|181818--18--|
A|------------|
E|------------| x8

G|----------16--14--13-------------------------------|
D|---------------------------------------------------|
A|--7------------------------------------------------|
E|---------------------------------------------------| x8

G|---------------|
D|--9--9h11-9h11-|
A|11-11----------|
E|--------------9| x 2

G|----------9h11-|
D|--9--9h11------|
A|11-11----------|
E|--------------9|

G|---------------|
D|--9--9h11-9h11-|
A|11-11----------|
E|--------------9|

G|---------|
D|---------|
A|7-7---4-2|
E|----5----| x2

And that's all thats been heard of Manhattan so far. Sounds great :)