English

The inner product on exterior powers of a complex vector space

Algebraic Geometry 2014-01-17 v1 Complex Variables

Abstract

We give a formula for the inner product of forms on a Hermitian vector space in terms of linear combinations of iterates of the adjoint of the Lefschetz operator. As an application, we reprove the Kobayashi-Lubke inequality for Hermite-Einstein bundles.

Keywords

Cite

@article{arxiv.1401.4048,
  title  = {The inner product on exterior powers of a complex vector space},
  author = {Gunnar Þór Magnússon},
  journal= {arXiv preprint arXiv:1401.4048},
  year   = {2014}
}

Comments

12 pages, comments welcome