English

Torelli group action on the configuration space of a surface

Algebraic Geometry 2020-09-01 v2

Abstract

We show that the Torelli group of a closed surface of genus 3\ge 3 acts nontrivially on the rational cohomology of its space of 33-element subsets.

Keywords

Cite

@article{arxiv.2008.10556,
  title  = {Torelli group action on the configuration space of a surface},
  author = {Eduard Looijenga},
  journal= {arXiv preprint arXiv:2008.10556},
  year   = {2020}
}

Comments

Stricter separation of topology and mixed Hodge theory, references added, and Prop. (2.2) corrected