English

Half-balanced braided monoidal categories and Teichmueller groupoids in genus zero

Quantum Algebra 2010-09-17 v2

Abstract

We introduce the notions of a half-balanced braided monoidal category and of its contraction. These notions give rise to an explicit description of the action of the Galois group of QQ on Teichmueller groupoids in genus 0, equivalent to that of L. Schneps. We also show that a prounipotent version of this action is equivalent to a graded action.

Keywords

Cite

@article{arxiv.1009.2652,
  title  = {Half-balanced braided monoidal categories and Teichmueller groupoids in genus zero},
  author = {Benjamin Enriquez},
  journal= {arXiv preprint arXiv:1009.2652},
  year   = {2010}
}

Comments

19 pages

R2 v1 2026-06-21T16:13:41.937Z