On the computation of homology of type A real flag manifolds
Fuente:
arXiv
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Preprint |
| Veröffentlicht: |
2023
|
| Schlagworte: | |
| Online-Zugang: | |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| _version_ | 1866929531770634240 |
|---|---|
| author | Lambert, Jordan Rabelo, Lonardo |
| author_facet | Lambert, Jordan Rabelo, Lonardo |
| contents | In this paper, we present a closed, computable formula for the cellular homology coefficients of real flag manifolds associated with split real forms of type A. We demonstrate the process using movements within the code diagram for permutations. Additionally, we compute the third and fourth homology groups and provide generators for the free part up to the sixth homology group. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2306_01127 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | On the computation of homology of type A real flag manifolds Lambert, Jordan Rabelo, Lonardo Algebraic Topology Combinatorics 05A05, 05E16, 14M15, 57T15 (Primary) In this paper, we present a closed, computable formula for the cellular homology coefficients of real flag manifolds associated with split real forms of type A. We demonstrate the process using movements within the code diagram for permutations. Additionally, we compute the third and fourth homology groups and provide generators for the free part up to the sixth homology group. |
| title | On the computation of homology of type A real flag manifolds |
| topic | Algebraic Topology Combinatorics 05A05, 05E16, 14M15, 57T15 (Primary) |
| url | https://arxiv.org/abs/2306.01127 |