In mathematics, the Todd class is a certain construction now considered a part of the theory in algebraic topology of characteristic classes. The Todd class of a vector bundle can be defined by means of the theory of Chern classes, and is encountered where Chern classes exist — most notably in differential topology, the theory of complex manifolds and algebraic geometry. In rough terms, a Todd class acts like a reciprocal of a Chern class, or stands in relation to it as a conormal bundle does to a normal bundle.
The Todd class plays a fundamental role in generalising the classical Riemann-Roch theorem to higher dimensions, in the Hirzebruch-Riemann-Roch theorem and Grothendieck-Hirzebruch-Riemann-Roch theorem.
It is named for J. A. Todd, who introduced a special case of the concept in algebraic geometry in 1937, before the Chern classes were defined. The geometric idea involved is sometimes called the Todd-Eger class. The general definition in higher dimensions is due to Hirzebruch.
Ooh-wee-ooh
Ooh-wee-ooh
I'm on the dancefloor
Lazee
Mohombi
Ooh-wee-ooh
Ooh-wee-ooh
(Here we go)
I'm on the dancefloor
I do it for family and friends
And my fans on tour
Do it from the heart
When it hits the store
And to hits your ear
Something you give more
Make you wanna some more
And I give it some more
And I can never give 'em enough
It seems I give it up
All the words will stuck
Whole later
The boys are amazing
As I was, I got the dancefloor shakin'
From the top floor, down to the basement (aha)
And the black eyed were spending living
Better believe, I've got this feeling, Black Eyed Peas
Make you booty-trap on for you playing
When they ask where I do it for
I'll say
I do it for the once who got my back (ooh-ooh-wee)
I do it from my heart, on every track (ooh-ooh-wee)
I do it for my city, we party every day
I do it for the crowd, just tonight we're going down, down
Ooh-wee-ooh
Ooh-wee-ooh
I'm on the dancefloor
Ask me when I'm so fown, fown
You know we're going down, down
Ooh-wee-ooh
Ooh-wee-ooh
I'm on the dancefloor
Ask me when I'm so fown, fown
You know we're going down, down
Ah, Viva La Vida on the play, on the Coldplay
When I feel flay, table and press play
Figured by back in the day
Get mama in the crib when I'm working on my work play
Keep dreaming, that's what sun say
My mama did not rease the fool compending
Way back when I use the wrap off lunchdays
I knew I'll make it to the top, one day
Now days, a flaw-pa
How the core in this spaceship, saffa
Give me take into the world, ba-pa
With my pokerface, so Gaga
No mission is impossible
The jam black, Tom Cruise
I mean, no, that cool
So when you ask me what I do
'Til what I do
Where I do it for
I'll say
I do it for the once who got my back (ooh-ooh-wee)
I do it from my heart, on every track (ooh-ooh-wee)
I do it for my city, we party every day
I do it for the crowd, just tonight we're going down, down
Ooh-wee-ooh
Ooh-wee-ooh
I'm on the dancefloor
Ask me when I'm so fown, fown
You know we're going down, down
Ooh-wee-ooh
Ooh-wee-ooh
I'm on the dancefloor
Ask me when I'm so fown, fown
You know we're going down, down
Music on, start it
I've never heard it never before
Music on, start it
This is Lazee and Mo
Music on, start it
To my party control
Music on, start it
Oh, start it, oh, start it
I do it for the once who got my back (ooh-ooh-wee)
I do it from my heart, on every track (ooh-ooh-wee)
I do it for my city, we party every day
I do it for the crowd, just tonight we're going down, down
I do it for the once who got my back (ooh-ooh-wee)
I do it from my heart, on every track (ooh-ooh-wee)
I do it for my city, we party every day
I do it for the crowd, just tonight we're going down, down
Ooh-wee-ooh
Ooh-wee-ooh
I'm on the dancefloor
Ask me when I'm so fown, fown
You know we're going down, down
Ooh-wee-ooh
Ooh-wee-ooh
I'm on the dancefloor
Ask me when I'm so fown, fown