Virtual cycles of stable (quasi-) maps with fields
We generalize the results of Chang–Li, Kim–Oh and Chang–Li on the moduli of p-fields to
the setting of (quasi-) maps to complete intersections in arbitrary smooth Deligne–Mumford
stacks with projective coarse moduli. In particular, we show that the virtual cycle of stable
(quasi-) maps to a complete intersection can be recovered by the cosection localized virtual
cycle of the moduli of p-fields of the ambient space.
the setting of (quasi-) maps to complete intersections in arbitrary smooth Deligne–Mumford
stacks with projective coarse moduli. In particular, we show that the virtual cycle of stable
(quasi-) maps to a complete intersection can be recovered by the cosection localized virtual
cycle of the moduli of p-fields of the ambient space.
Abstract
We generalize the results of Chang–Li, Kim–Oh and Chang–Li on the moduli of p-fields to the setting of (quasi-)maps to complete intersections in arbitrary smooth Deligne–Mumford stacks with projective coarse moduli. In particular, we show that the virtual cycle of stable (quasi-)maps to a complete intersection can be recovered by the cosection localized virtual cycle of the moduli of p-fields of the ambient space.
Elsevier
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