Abstract
Let be a morphism of DM stacks of positive virtual relative dimension and let . We give sufficient conditions for to be a multiple of . We show an analogue of the conservation of number for virtually smooth families. We show implications to Gromov–Witten invariants and give a new proof of a theorem of Marian, Oprea and Pandharipande which compares the virtual classes of moduli spaces of stable maps and moduli spaces of stable quotients.
Citation
Cristina Manolache. "Virtual push-forwards." Geom. Topol. 16 (4) 2003 - 2036, 2012. https://doi.org/10.2140/gt.2012.16.2003
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