Finite orbits of the pure braid group on the monodromy of the 2-variable Garnier system
Research output: Contribution to journal › Article
Authors
Colleges, School and Institutes
External organisations
- Loughborough University
Abstract
In this article, we realize the SL2(C) character variety of the Riemann sphere with five boundary components as a 5-parameter family of affine varieties of dimension
4. We show that the action of the mapping class group corresponds to certain action of the braid group on this family of affine varieties and classify exceptional finite orbits. This action represents the nonlinear monodromy of the 2-variable Garnier system and finite orbits correspond to its algebraic solutions.
4. We show that the action of the mapping class group corresponds to certain action of the braid group on this family of affine varieties and classify exceptional finite orbits. This action represents the nonlinear monodromy of the 2-variable Garnier system and finite orbits correspond to its algebraic solutions.
Details
| Original language | English |
|---|---|
| Pages (from-to) | 1-35 |
| Journal | Journal of Integrable Systems |
| Volume | 3 |
| Publication status | Published - 4 Jun 2018 |
Keywords
- Braid group, Garnier system, Character variety