On super cluster algebras based on super Plücker and super Ptolemy relations

DOI10.1016/j.geomphys.2023.104776zbMath1520.14090arXiv2206.12072OpenAlexW4319873172MaRDI QIDQ6038486

Ekaterina Shemyakova

Publication date: 2 May 2023

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2206.12072

zbMATH Keywords

super cluster algebrassuper Grassmannianssuper Plücker relationssuper Ptolemy relationssuper Teichmüller spaces

Mathematics Subject Classification ID

Grassmannians, Schubert varieties, flag manifolds (14M15) Supermanifolds and graded manifolds (58A50) Teichmüller theory for Riemann surfaces (30F60) Cluster algebras (13F60)

Cites Work

• The quantum chiral Minkowski and conformal superspaces
• The decorated Teichmüller space of punctured surfaces
• Decorated super-Teichmüller space
• Dual forms on supermanifolds and Cartan calculus
• Supercurves, their Jacobians, and super KP equations
• Cluster algebras with Grassmann variables
• On super Plücker embedding and cluster algebras
• An introduction to supersymmetric cluster algebras
• An expansion formula for decorated super-Teichmüller spaces
• Differential operators on the superline, Berezinians, and Darboux transformations
• Darboux transformations for differential operators on the superline
• Supermanifold Forms and Integration. A Dual Theory
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