Can I read The Canonical 2-Gerbe of a Holomorphic Vector Bundle on EtoBox?

The Canonical 2-Gerbe of a Holomorphic Vector Bundle by Upmeier, Markus is a scholarly article available to read on EtoBox.

What is The Canonical 2-Gerbe of a Holomorphic Vector Bundle about?

For each holomorphic vector bundle we construct a holomorphic bundle 2-gerbe that geometrically represents its second Beilinson-Chern class. Applied to the cotangent bundle, this may be regarded as a higher analogue of the canonical line bundle in complex geometry. Moreover, we exhibit the precise relationship between holomorphic and smooth gerbes. For example, we introduce an Atiyah class for gerbes and prove a Koszul-Malgrange type theorem.

Author

Upmeier, Markus

Published

2016

Language

EN