Tessellations of Real Moduli Spaces
by
Satyan Devadoss
Johns Hopkins University

We look at the real points of the moduli space of punctured Riemann spheres. This space is naturally tiled by Stasheff associahedra, which can be described as polygons with non-intersecting diagonals. We look at the cellular decomposition of the moduli space and describe its structure from the viewpoint of real blow-ups of hyperplane braid arrangements.

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Date received: June 4, 1999