English

The Determinant of Cohomology and Moduli of $\lambda$-Connections

Algebraic Geometry 2026-01-21 v1

Abstract

We exhibit how the Hodge-Deligne moduli space of λ\lambda-connections over a smooth projective curve, for stable bundles with fixed determinant, can be understood as the dual of the Atiyah algebroid of the determinant of cohomology line bundle.

Keywords

Cite

@article{arxiv.2412.02898,
  title  = {The Determinant of Cohomology and Moduli of $\lambda$-Connections},
  author = {Johan Martens},
  journal= {arXiv preprint arXiv:2412.02898},
  year   = {2026}
}

Comments

5 pages. Short note for ZAG volume