# Tagged Questions

**9**

votes

**1**answer

600 views

### Are bundle gerbes bundles of algebras?

The category of line bundles (possibly with connection)
on a smooth manifoldĀ M can be defined in two different ways:
The first definition uses transition functions that satisfy a cocycle condition
...

**13**

votes

**5**answers

1k views

### What do gerbes and complex powers of line bundles have to do with each other?

We all know how to take integer tensor powers of line bundles. I claim that one should be able to also take fractional or even complex powers of line bundles. These might not be line bundles, but ...