Year: 2015
Type: article
Abstract: Quilted strips, graph associahedra, and A 1 n-modules SIKIMETI MA'U 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 A 1 equations of A 1 n-modules. 14H10; 14M252 Quilted strips Let C denote the complex plane with complex coordinate z D x C iy , and let † D fz 2 C ˇ0 < Re z D x < 1g denote the infinite strip of unit width in C .Let n 1, and fix an increasing sequence of real values 0 D a 0 < a 1 < < a n D 1.Each a k
Source: Algebraic & Geometric Topology
Author: Sikimeti Ma’u
Institution: University of Verona
Language: English
Subfield: Mathematical Physics
Field: Mathematics
Domain: Physical Sciences
Open Access status: bronze
OpenAlex ID: W1548802479