Cyclic group actions on Fukaya categories and mirror symmetry · arXivDesk
2004.10366Apr 22, 2020The construction of the action on Fukaya category is significantly simplified. A new section about the compatibility of the action on local mirrors with gluing functions is added. Comments are welcome
Cyclic group actions on Fukaya categories and mirror symmetry
Let (X,ω) be a compact symplectic manifold whose first Chern class c1(X) is divisible by a positive integer n. We construct a Z2n
Nearby in the stack
-action on its Fukaya category
Fuk(X)
and a
Zn
-action on the local models of its moduli of Lagrangian branes. We show that this action is compatible with the gluing functions for different local models.