English

The Geometric P=W conjecture in the Painlev\'e cases via plumbing calculus

Algebraic Geometry 2020-02-03 v1

Abstract

We use plumbing calculus to prove the homotopy commutativity assertion of the Geometric P=W conjecture in all Painlev\'e cases. We discuss the resulting Mixed Hodge structures on Dolbeault and Betti moduli spaces.

Keywords

Cite

@article{arxiv.2001.11720,
  title  = {The Geometric P=W conjecture in the Painlev\'e cases via plumbing calculus},
  author = {András Némethi and Szilárd Szabó},
  journal= {arXiv preprint arXiv:2001.11720},
  year   = {2020}
}

Comments

12 pages, 6 figures, 1 table