Back to Search
Start Over
Elliptic bihamiltonian structures from relative shifted Poisson structures.
- Source :
-
Journal of Topology . Dec2023, Vol. 16 Issue 4, p1389-1422. 34p. - Publication Year :
- 2023
-
Abstract
- In this paper, generalizing our previous construction, we equip the relative moduli stack of complexes over a Calabi–Yau fibration (possibly with singular fibers) with a shifted Poisson structure. Applying this construction to the anticanonical linear systems on surfaces, we get examples of compatible Poisson brackets on projective spaces extending Feigin–Odesskii Poisson brackets. Computing explicitly the corresponding compatible brackets coming from Hirzebruch surfaces, we recover the brackets defined by Odesskii–Wolf. [ABSTRACT FROM AUTHOR]
- Subjects :
- *POISSON brackets
*LINEAR systems
*POISSON'S equation
Subjects
Details
- Language :
- English
- ISSN :
- 17538416
- Volume :
- 16
- Issue :
- 4
- Database :
- Academic Search Index
- Journal :
- Journal of Topology
- Publication Type :
- Academic Journal
- Accession number :
- 174157974
- Full Text :
- https://doi.org/10.1112/topo.12315