New A-infinity Diagonals from Contractions of the Weighted Associahedra
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Date
2024-01-09
Authors
Phillips, Bo
Journal Title
Journal ISSN
Volume Title
Publisher
University of Oregon
Abstract
In this paper, we build on the work of Lipshitz, Ozsv\'{a}th, and Thurston by constructing an algorithm that generates a weighted $A_\infty$-diagonal given a family of contractions of the weighted associahedron complexes. Using this, we exhibit a new weighted $A_\infty$-diagonal and relate it to the unweighted $A_\infty$-diagonal exhibited by Masuda-Thomas-Tonks-Vallete given by so-called ``right-moving trees.''
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Keywords
a-infinity, algebra, homotopy