A dual point of view on the ribbon graph decomposition of moduli space

Abstract

In this note, I discuss in some detail the dual version of the ribbon graph decomposition of the moduli spaces of Riemann surfaces with boundary and marked points, which I introduced in math.AG/0402015, and used in math.QA/0412149 to construct open-closed topological conformal field theories. This dual version of the ribbon graph decomposition is a compact orbi-cell complex with a natural weak homotopy equivalence to the moduli space.

arXiv comment11 pages

References in corpus (2)

• Foundations of Topological Stacks I
• Moduli of J-Holomorphic Curves with Lagrangian Boundary Conditions and Open Gromov-Witten Invariants for an $S^1$-Equivariant Pair

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• Graph Reconstruction, Functorial Feynman Rules and Superposition Principles
• Semistable Graph Homology