New posts in characteristic-classes

Intuitive interpration of the Thom isomorphism and relative cohomology

differential-geometry algebraic-topology homology-cohomology characteristic-classes

Stiefel--Whitney classes of associated bundles

characteristic-classes homogeneous-spaces

On the smooth structure of $\mathbb{R}P^n$ in Milnor's book on characteristic classes.

differential-geometry manifolds differential-topology characteristic-classes

Intuition behind the Thom Isomorphism.

general-topology algebraic-topology differential-topology homology-cohomology characteristic-classes

Euler characteristic is equal to self-intersection number of zero-section?

differential-geometry manifolds differential-topology characteristic-classes

Example of a real orientable $2n$-plane bundle without complex structure via non-trivial odd Stiefel-Whitney class

algebraic-topology vector-bundles characteristic-classes

Intuition of Chern-Weil theory

differential-geometry algebraic-topology characteristic-classes principal-bundles

Relations of Characteristic classes: Chern, Stiefel-Whitney, Pontryagin, Euler, Wu class. [closed]

characteristic-classes algebraic-geometry differential-geometry algebraic-topology fiber-bundles

What can we say about a vector bundle with trivial unit sphere bundle?

differential-geometry vector-bundles fiber-bundles characteristic-classes

Chern-Weil: why do we divide by $2\pi$?

differential-geometry algebraic-topology characteristic-classes

Why is the constant relating the chern class and curvature form always $2\pi i$?

differential-geometry fiber-bundles characteristic-classes

Is the canonical $(n-1)$-plane bundle over the deleted total space of an orientable $n$-plane bundle orientable?

algebraic-topology vector-bundles characteristic-classes

Second Chern class of a ruled surface

algebraic-geometry characteristic-classes

An alternative description of the first Stiefel-Whitney class

algebraic-topology differential-topology characteristic-classes

How to calculate the Euler class, Euler characteristic and top Chern class of $End(E)$?

algebraic-geometry vector-bundles intersection-theory characteristic-classes

Prove addition law from duplication formula (for power series associated to elliptic genus)

algebraic-topology commutative-algebra elliptic-curves characteristic-classes formal-power-series

explicit cocycle representing Stiefel-Whitney class in Milnor and Stasheff

algebraic-topology characteristic-classes

Calculate the Wu class from the Stiefel-Whitney class

algebraic-topology characteristic-classes cohomology-operations

Stiefel-Whitney numbers for product bundle

algebraic-topology differential-topology projective-space characteristic-classes

Second Stiefel-Whitney Class of a 3 Manifold

algebraic-topology manifolds vector-bundles characteristic-classes