The Homology of Complex Equivariant Bordism
Fuente:
arXiv
Saved in:
| Main Author: | |
|---|---|
| Format: | Preprint |
| Published: |
2026
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866915761948196864 |
|---|---|
| author | Groenjes, Julius |
| author_facet | Groenjes, Julius |
| contents | Let $A$ be an abelian compact Lie group and let $E$ be an oriented $A$-spectrum. We compute the $E$-homology of tom Dieck's homotopical $A$-equivariant complex bordism spectrum $MU_A$ in two ways, correcting an error in Cole-Greenlees-Kriz (2002). Additionally, we calculate the $E$-homology of the geometric $A$-equivariant complex bordism spectrum $mU_A$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2601_22303 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | The Homology of Complex Equivariant Bordism Groenjes, Julius Algebraic Topology 55N91 (Primary) 55N22, 55R91 (Secondary) Let $A$ be an abelian compact Lie group and let $E$ be an oriented $A$-spectrum. We compute the $E$-homology of tom Dieck's homotopical $A$-equivariant complex bordism spectrum $MU_A$ in two ways, correcting an error in Cole-Greenlees-Kriz (2002). Additionally, we calculate the $E$-homology of the geometric $A$-equivariant complex bordism spectrum $mU_A$. |
| title | The Homology of Complex Equivariant Bordism |
| topic | Algebraic Topology 55N91 (Primary) 55N22, 55R91 (Secondary) |
| url | https://arxiv.org/abs/2601.22303 |