New A-infinity Diagonals from Contractions of the Weighted Associahedra
| dc.contributor.advisor | Dugger, Daniel | |
| dc.contributor.author | Phillips, Bo | |
| dc.date.accessioned | 2024-01-09T22:50:51Z | |
| dc.date.available | 2024-01-09T22:50:51Z | |
| dc.date.issued | 2024-01-09 | |
| dc.description.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.'' | en_US |
| dc.identifier.uri | https://hdl.handle.net/1794/29184 | |
| dc.language.iso | en_US | |
| dc.publisher | University of Oregon | |
| dc.rights | All Rights Reserved. | |
| dc.subject | a-infinity | en_US |
| dc.subject | algebra | en_US |
| dc.subject | homotopy | en_US |
| dc.title | New A-infinity Diagonals from Contractions of the Weighted Associahedra | |
| dc.type | Electronic Thesis or Dissertation | |
| thesis.degree.discipline | Department of Mathematics | |
| thesis.degree.grantor | University of Oregon | |
| thesis.degree.level | doctoral | |
| thesis.degree.name | Ph.D. |
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