Quilted strips, graph associahedra, and A-infinity n-modules

Details Quilted strips, graph associahedra, and A-infinity n-modules Quilted strips, graph associahedra, and A-infinity n-modules

2010-07-27

arxiv.org/abs/1007.4620v1

Mathematics

Algebraic Geometry

15 pages, 10 figures

Scientific paper

We consider moduli spaces of quilted strips with markings and their compactifications. Using the theory of moment maps of toric varieties we identify the compactified moduli spaces with certain graph associahedra. We demonstrate how these moduli spaces govern the combinatorics of A-infinity n-modules, which are natural generalizations of A-infinity modules (n=1) and bimodules (n=2).

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