The filtered circle
Abstract/Contents
- Abstract
- We characterize two objects by universal property: the derived de Rham complex and Hochschild homology together with its Hochschild--Kostant--Rosenberg filtration. This involves endowing these objects with extra structure, built on notions of "homotopy-coherent cochain complex" and "filtered circle action" that we study here. We use these universal properties to give a conceptual proof of the statements relating Hochschild homology and the derived de Rham complex, in particular giving a new construction of the filtrations on cyclic, negative cyclic, and periodic cyclic homology that relate these invariants to derived de Rham cohomology.
Description
| Type of resource | text |
|---|---|
| Form | electronic resource; remote; computer; online resource |
| Extent | 1 online resource. |
| Place | California |
| Place | [Stanford, California] |
| Publisher | [Stanford University] |
| Copyright date | 2021; ©2021 |
| Publication date | 2021; 2021 |
| Issuance | monographic |
| Language | English |
Creators/Contributors
| Author | Raksit, Arpon Paul |
|---|---|
| Degree supervisor | Conrad, Brian, 1970- |
| Degree supervisor | Galatius, Søren, 1976- |
| Thesis advisor | Conrad, Brian, 1970- |
| Thesis advisor | Galatius, Søren, 1976- |
| Thesis advisor | Cohen, Ralph L, 1952- |
| Degree committee member | Cohen, Ralph L, 1952- |
| Associated with | Stanford University, Department of Mathematics |
Subjects
| Genre | Theses |
|---|---|
| Genre | Text |
Bibliographic information
| Statement of responsibility | Arpon Raksit. |
|---|---|
| Note | Submitted to the Department of Mathematics. |
| Thesis | Thesis Ph.D. Stanford University 2021. |
| Location | https://purl.stanford.edu/hm058rx2810 |
Access conditions
- Copyright
- © 2021 by Arpon Paul Raksit
- License
- This work is licensed under a Creative Commons Attribution Non Commercial 3.0 Unported license (CC BY-NC).
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