The Tamari lattice and the associahedron provide methods of measuring associativity on a line. The real moduli space of marked curves captures the space of such associativity. We consider a natural generalization by considering the moduli space of marked particles on the Poincaré disk, extending Tamari's notion of associativity based on nesting. A geometric and combinatorial construction of this space is provided, which appears in Kontsevich's deformation quantization, Voronov's swiss-cheese operad, and Kajiura and Stasheff's open-closed string theory.
CITATION STYLE
Devadoss, S. L., Fehrman, B., Heath, T., & Vashist, A. (2012). Moduli spaces of punctured poincaré disks. In Associahedra, Tamari Lattices and Related Structures: Tamari Memorial Festschrift (pp. 99–117). Springer Basel. https://doi.org/10.1007/978-3-0348-0405-9_6
Mendeley helps you to discover research relevant for your work.