Affiliation:
1. Department of Mathematics The University of Hong Kong Pok Fu Lam Hong Kong
2. Department of Mathematics University of Oregon Eugene Oregon USA
Abstract
AbstractIn 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.
Funder
Glaucoma Research Foundation
National Natural Science Foundation of China