New posts in Characteristic Classes

A Compact Manifold with odd Euler characteristic whose tangent bundle admits a field of lines

Steenrod powers of Pontryagin classes

Generalize Wu formula to integral cohomology classes

Who discovered this definition of Stiefel-Whitney classes?

Second Stiefel-Whitney class is a square

Vector bundle over an oriented manifold with non-vanishing w_2w_3

Nice things that can be proved easily with characteristic classes

non-triviality of the underlying real vector bundle of the complexification of a real vector bundle

Tangent bundle of smooth closed simply-connected $4$-manifold $w_1 = w_2 = 0$ can be trivialized in complement of point?

Intuition/idea behind a proof of the splitting principle?