A trivial exercise in mathematics

Let P(f)=0 be an elliptic system of partial differential equations defined over a closed, smooth, oriented n-dimensional manifold X. then:

Topological index of P = Analytical index of P = (-1)^n <ch(s(P)) . td(T_C X), [X]>

where
n is the dimension of the space
s(P) is the symbol of the system
ch is the Chern character
T_C X is the complexified tangent bundle on X
td is the Todd class
. is the cup product
[X] is the fundamental class of X
<a,b> is the Kronecker pairing

>>28
Bullshit, just look at QM, and things like string theory. I'm a physicist, so I don't know too much beyond that, but I'm sure there are similar controversial areas in mathematics, and 'unprovables'. Haven't you read any of Godel's work? I thought he was quite popular amongst mathematicians.

Then again, the more you post, the more ignorant you seem to me. So I wouldn't really expect you to know.