Tessellations of Moduli Spaces and the Mosaic Operad

1998/07/31 by Satyan L. Devadoss · 4 citations
Mathematics · #math.AG #math.QA #msc:14H10 #msc:05B45 #msc:52B11

paper · pdf

published as Contemporary Mathematics Volume 239 · 24 pages, 26 figures, LaTex; updated and improved content (1999)

arxiv created 2000/08/17 · arxiv updated 2009/11/30

Abstract

We construct a new (cyclic) operad of `mosaics' defined by polygons with marked diagonals. Its underlying (aspherical) spaces are the sets of real points of the moduli space of punctured Riemann spheres, which are naturally tiled by Stasheff associahedra. We (combinatorially) describe them as iterated blow-ups and show that their fundamental groups form an operad with similarities to the operad of braid groups.

Cited by

• Minimal generating set of cactus groups
• Cactus flower spaces and monodromy of Bethe vectors
• Generalised wavefunction coefficients and acyclonesto-cosmohedra
• Pure cactus groups and configuration spaces of points on the circle

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