Cohomology of the Heisenberg Manifold Sequence
We describe the cohomological structure of the sequence of Heisenberg nilmanifolds M H 2 n - 1 → M H 2 n + 1 , n = 1, 2, . . . , in terms of bigraded symplectic structures on the tori T 2 n , the corresponding s l 2 -representations on the cohomology of T 2 n , and the Buchstaber spectral sequence (...
Gespeichert in:
| Veröffentlicht in: | Journal of mathematical sciences (New York, N.Y.) N.Y.), 2024, Vol.284 (1), p.17-58 |
|---|---|
| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | eng |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| Zusammenfassung: | We describe the cohomological structure of the sequence of Heisenberg nilmanifolds
M
H
2
n
-
1
→
M
H
2
n
+
1
,
n
= 1, 2, . . . , in terms of bigraded symplectic structures on the tori
T
2
n
, the corresponding
s
l
2
-representations on the cohomology of
T
2
n
, and the Buchstaber spectral sequence (
Bss
). |
|---|---|
| ISSN: | 1072-3374 1573-8795 |
| DOI: | 10.1007/s10958-024-07326-3 |