Geodesic
Quilted strips, graph associahedra, and A∞ n–modules
Ma’u, Sikimeti1
1Department of Computer Science, Università degli Studi di Verona, Strada le Grazie 15, 37134 Verona Italy
Algebraic and Geometric Topology, Tome 15 (2015) no. 2, pp. 783-799
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We consider moduli spaces of quilted strips with markings. By identifying each compactified moduli space with the nonnegative real part of a projective toric variety, we conclude that it is homeomorphic under the moment map to the moment polytope. The moment polytopes in these cases belong to a certain class of graph associahedra, which include the associahedra and permutahedra as special cases. In fact, these graph associahedra are precisely the polytopes whose facet combinatorics encode the A∞ equations of A∞ n–modules.

DOI : 10.2140/agt.2015.15.783
Classification : 14H10, 14M25
Keywords: graph associahedra, toric varieties, moment map, A-infinity

Ma’u, Sikimeti  1

1 Department of Computer Science, Università degli Studi di Verona, Strada le Grazie 15, 37134 Verona Italy 
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Ma’u, Sikimeti. Quilted strips, graph associahedra, and A∞ n–modules. Algebraic and Geometric Topology, Tome 15 (2015) no. 2, pp. 783-799. doi: 10.2140/agt.2015.15.783

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