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

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 نشر من قبل Sikimeti Mau
 تاريخ النشر 2010
  مجال البحث
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 تأليف Sikimeti Mau




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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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