| Title:
|
An algebraic model for rational excisive functors (English) |
| Author:
|
Barnes, David |
| Author:
|
Kędziorek, Magdalena |
| Author:
|
Taggart, Niall |
| Language:
|
English |
| Journal:
|
Higher Structures |
| ISSN:
|
2209-0606 |
| Volume:
|
10 |
| Issue:
|
1 |
| Year:
|
2026 |
| Pages:
|
273-291 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
We provide a new proof of the rational splitting of excisive endofunctors of spectra as a product of their homogeneous layers independent of rational Tate vanishing. We utilise the analogy between endofunctors of spectra and equivariant stable homotopy theory and as a consequence, we obtain an algebraic model for rational excisive functors. (English) |
| Keyword:
|
Goodwillie calculus |
| Keyword:
|
Burnside ring |
| Keyword:
|
spectra |
| Keyword:
|
rational homotopy theory |
| Keyword:
|
algebraic model |
| MSC:
|
18F50 |
| MSC:
|
55P42 |
| MSC:
|
55P60 |
| MSC:
|
55P65 |
| MSC:
|
55P91 |
| DOI:
|
10.21136/HS.2026.08 |
| . |
| Date available:
|
2026-09-17T12:49:31Z |
| Last updated:
|
2026-09-17 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/153760 |
| . |
| Reference:
|
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