English

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

Algebraic Geometry 2015-05-27 v1 Quantum Algebra

Abstract

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).

Keywords

Cite

@article{arxiv.1007.4620,
  title  = {Quilted strips, graph associahedra, and A-infinity n-modules},
  author = {Sikimeti Ma'u},
  journal= {arXiv preprint arXiv:1007.4620},
  year   = {2015}
}

Comments

15 pages, 10 figures

R2 v1 2026-06-21T15:53:23.693Z