# Monthly Archives: July 2013

## Characteristic Classes

The next section of the book, available here, gives a very quick introduction to what the Pontrjagin classes are.  This is really just a refresher – I am sure it is too terse for someone who has never seen characteristic … Continue reading

## Manifold Sins and Wickedness

In the previous post I mentioned the two categories of manifolds with which we’re going to be mostly concerned: smooth manifolds, equipped with an atlas whose transition maps are $$C^\infty$$, and topological manifolds (locally Euclidean spaces).  Smooth manifolds are, of … Continue reading