English

Uhlenbeck compactification as a functor

Algebraic Geometry 2015-02-12 v2

Abstract

We give a definition of a functor compactifying the functor of bundles on a surfaces. Earlier different authors have defined similar spaces as either images under a morphism or a quotient by an equivalence relation. We use the technique of multiplicative functors to explain what kind of objects are parameterized by the points of this compactification.

Keywords

Cite

@article{arxiv.1402.5685,
  title  = {Uhlenbeck compactification as a functor},
  author = {Vladimir Baranovsky},
  journal= {arXiv preprint arXiv:1402.5685},
  year   = {2015}
}

Comments

to appear in IMRN

R2 v1 2026-06-22T03:14:04.973Z