The cluster symplectic double and moduli spaces of local systems
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- by Dylan G. L. Allegretti PDF
- Proc. Amer. Math. Soc. 145 (2017), 5191-5204 Request permission
Abstract:
We prove a conjecture of Fock and Goncharov which provides a birational equivalence of a cluster variety called the cluster symplectic double and a certain moduli space of local systems associated to a surface.References
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Additional Information
- Dylan G. L. Allegretti
- Affiliation: School of Mathematics and Statistics, University of Sheffield, Sheffield S3 7RH, United Kingdom
- MR Author ID: 1189385
- Received by editor(s): July 24, 2016
- Received by editor(s) in revised form: July 27, 2016, and January 17, 2017
- Published electronically: June 16, 2017
- Additional Notes: This work was partially supported by NSF grant DMS-1301776
- Communicated by: Jerzy Weyman
- © Copyright 2017 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 145 (2017), 5191-5204
- MSC (2010): Primary 13F60, 53D30
- DOI: https://doi.org/10.1090/proc/13726
- MathSciNet review: 3717948