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

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

2006-01-06

arxiv.org/abs/math/0601130v1

Mathematics

Geometric Topology

11 pages

Scientific paper

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.

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