Actions of the circle group on presentable stable infinity-categories
| dc.contributor.advisor | Chairperson, Graduate Committee: David Ayala | en |
| dc.contributor.author | Moldstad, Benjamin Lee | en |
| dc.date.accessioned | 2025-11-21T20:36:24Z | |
| dc.date.available | 2025-11-21T20:36:24Z | |
| dc.date.issued | 2024 | en |
| dc.description.abstract | This dissertation seeks to identify actions by the circle group on presentable stable infinity- categories. A circle action on the category of chain complexes over a commutative ring is equivalent with the data of a degree 1 differential map. In the more generalized setting, this characterization of a circle group action is obstructed precisely by the Hopf fibration. This is identified using the theory of stratifications. | en |
| dc.identifier.uri | https://scholarworks.montana.edu/handle/1/19248 | en |
| dc.language.iso | en | en |
| dc.publisher | Montana State University - Bozeman, College of Letters & Science | en |
| dc.rights.holder | Copyright 2024 by Benjamin Lee Moldstad | en |
| dc.subject.lcsh | Numbers, Complex | en |
| dc.subject.lcsh | Fiber bundles (Mathematics) | en |
| dc.subject.lcsh | Categories (Mathematics) | en |
| dc.title | Actions of the circle group on presentable stable infinity-categories | en |
| dc.type | Dissertation | en |
| mus.data.thumbpage | 21 | en |
| thesis.degree.committeemembers | Members, Graduate Committee: Blair Davey; Jaroslaw Kwapisz; Ryan Grady; Sam Gunningham | en |
| thesis.degree.department | Mathematical Sciences | en |
| thesis.degree.genre | Dissertation | en |
| thesis.degree.name | PhD | en |
| thesis.format.extentfirstpage | 1 | en |
| thesis.format.extentlastpage | 229 | en |