Abstract
For any and we construct a poset called a –associahedron. The –associahedra arose in symplectic geometry, where they are expected to control maps between Fukaya categories of different symplectic manifolds. We prove that the completion is an abstract polytope of dimension . There are forgetful maps , where is the –dimensional associahedron, and the –associahedra specialize to the associahedra (in two ways) and to the multiplihedra. In an appendix, we work out the – and –dimensional –associahedra in detail.
Citation
Nathaniel Bottman. "$2$–associahedra." Algebr. Geom. Topol. 19 (2) 743 - 806, 2019. https://doi.org/10.2140/agt.2019.19.743
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