A dual point of view on the ribbon graph decomposition of moduli space
Geometric Topology
2007-05-23 v1 Algebraic Geometry
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.
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Cite
@article{arxiv.math/0601130,
title = {A dual point of view on the ribbon graph decomposition of moduli space},
author = {Kevin J. Costello},
journal= {arXiv preprint arXiv:math/0601130},
year = {2007}
}
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11 pages