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.identifier.uri |
https://scholarsbank.uoregon.edu/xmlui/handle/1794/29184 |
|
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.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.name |
Ph.D. |
|
thesis.degree.level |
doctoral |
|
thesis.degree.discipline |
Department of Mathematics |
|
thesis.degree.grantor |
University of Oregon |
|