Algebraic & Geometric Topology
- Algebr. Geom. Topol.
- Volume 15, Number 2 (2015), 783-799.
Quilted strips, graph associahedra, and $A_\infty$ $n$–modules
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 equations of –modules.
Algebr. Geom. Topol., Volume 15, Number 2 (2015), 783-799.
Received: 9 December 2013
Revised: 10 September 2014
Accepted: 8 January 2015
First available in Project Euclid: 28 November 2017
Permanent link to this document
Digital Object Identifier
Mathematical Reviews number (MathSciNet)
Zentralblatt MATH identifier
Primary: 14H10: Families, moduli (algebraic)
Secondary: 14M25: Toric varieties, Newton polyhedra [See also 52B20]
Ma’u, Sikimeti. Quilted strips, graph associahedra, and $A_\infty$ $n$–modules. Algebr. Geom. Topol. 15 (2015), no. 2, 783--799. doi:10.2140/agt.2015.15.783. https://projecteuclid.org/euclid.agt/1511895789