Quilted strips, graph associahedra, andA∞n–modules

Sikimeti Ma'u
2015 Algebraic and Geometric Topology  
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).
doi:10.2140/agt.2015.15.783 fatcat:lml5p67dr5arbpclznjobklooy