- #1
lichen1983312
- 85
- 2
I am looking at the definition of the characteristic numbers from the wikipedia
https://en.wikipedia.org/wiki/Characteristic_class#Characteristic_numbers
"one can pair a product of characteristic classes of total degree n with the fundamental class"
I am not sure how is this paring defined here? I know that for the de Pham cohomology the pairing could be defined by integrating differential forms over the manifold. But here, the definition does not need de Pham cohomology, right?
https://en.wikipedia.org/wiki/Characteristic_class#Characteristic_numbers
"one can pair a product of characteristic classes of total degree n with the fundamental class"
I am not sure how is this paring defined here? I know that for the de Pham cohomology the pairing could be defined by integrating differential forms over the manifold. But here, the definition does not need de Pham cohomology, right?