Details
| Originalsprache | Englisch |
|---|---|
| Seiten (von - bis) | 237-252 |
| Seitenumfang | 16 |
| Fachzeitschrift | Quarterly Journal of Mathematics |
| Jahrgang | 72 |
| Ausgabenummer | 1-2 |
| Frühes Online-Datum | 15 Jan. 2021 |
| Publikationsstatus | Veröffentlicht - Juni 2021 |
Abstract
We give a characterization of Atiyah's and Hitchin's transverse Hilbert schemes of points on a symplectic surface in terms of bi-Poisson structures. Furthermore, we describe the geometry of hyperkähler manifolds arising from the transverse Hilbert scheme construction, with particular attention paid to the monopole moduli spaces.
ASJC Scopus Sachgebiete
- Mathematik (insg.)
- Allgemeine Mathematik
Zitieren
- Standard
- Harvard
- Apa
- Vancouver
- BibTex
- RIS
in: Quarterly Journal of Mathematics, Jahrgang 72, Nr. 1-2, 06.2021, S. 237-252.
Publikation: Beitrag in Fachzeitschrift › Artikel › Forschung › Peer-Review
}
TY - JOUR
T1 - Transverse hilbert schemes, bi-hamiltonian systems and hyperkähler geometry
AU - Bielawski, Roger
PY - 2021/6
Y1 - 2021/6
N2 - We give a characterization of Atiyah's and Hitchin's transverse Hilbert schemes of points on a symplectic surface in terms of bi-Poisson structures. Furthermore, we describe the geometry of hyperkähler manifolds arising from the transverse Hilbert scheme construction, with particular attention paid to the monopole moduli spaces.
AB - We give a characterization of Atiyah's and Hitchin's transverse Hilbert schemes of points on a symplectic surface in terms of bi-Poisson structures. Furthermore, we describe the geometry of hyperkähler manifolds arising from the transverse Hilbert scheme construction, with particular attention paid to the monopole moduli spaces.
UR - http://www.scopus.com/inward/record.url?scp=85108943353&partnerID=8YFLogxK
U2 - 10.48550/arXiv.2001.05669
DO - 10.48550/arXiv.2001.05669
M3 - Article
AN - SCOPUS:85108943353
VL - 72
SP - 237
EP - 252
JO - Quarterly Journal of Mathematics
JF - Quarterly Journal of Mathematics
SN - 0033-5606
IS - 1-2
ER -