Wrapped Fukaya–matrix factorisation mirror symmetry for equivariant Milnor fibres
Wrapped Fukaya–matrix factorisation mirror symmetry for equivariant Milnor fibres
Let be an invertible polynomial with admissible symmetry group , and let be the corresponding dual group. Let be the completed Milnor fibre of the mirror polynomial, viewed with the action of , and let denote the wrapped Fukaya category of the quotient stack. Wrapped Fukaya–matrix factorisation mirror symmetry. There is a quasi-equivalence
This is an expected extension of homological mirror symmetry to equivariant Milnor fibres and quotient stacks. The source notes that an appropriate wrapped Fukaya-category definition in this setting is still needed, so the statement remains open.
Sources & referencesView supporting material
Primary source
Matthew Habermann, “Homological mirror symmetry for nodal stacky curves”, arXiv:2101.12178 (2023).
Progress summary
Nothing recorded yet. Refresh searches the literature and the public web for attempts on this problem, and writes the first summary here.
Solutions 0
Sign in to submit a solution.
No solutions have been posted yet.