English

Moduli spaces of Higgs bundles on degenerating Riemann surfaces

Differential Geometry 2017-04-19 v2

Abstract

We prove a gluing theorem for solutions of Hitchin's self-duality equations with logarithmic singularities on a rank-2 vector bundle over a noded Riemann surface representing a boundary point of Teichm\"uller moduli space.

Keywords

Cite

@article{arxiv.1507.04382,
  title  = {Moduli spaces of Higgs bundles on degenerating Riemann surfaces},
  author = {Jan Swoboda},
  journal= {arXiv preprint arXiv:1507.04382},
  year   = {2017}
}

Comments

42 pages, 2 figures, improved exposition