30 citations · 59 across the 7 of their papers we have counts for
8 papers
Derived moduli of sections and push-forwards
David Kern, Etienne Mann, Cristina Manolache +1
We introduce a derived enhancement of the moduli space of sections defined by Chang-Li, and we compute its tangent complex. Special cases of this moduli space include stable maps a…
A splitting of the virtual class for genus one stable maps
Tom Coates, Cristina Manolache
Moduli spaces of stable maps to a smooth projective variety typically have several components. We express the virtual class of the moduli space of genus one stable maps to a smooth…
Virtual classes for the working mathematician
Luca Battistella, Francesca Carocci, Cristina Manolache
This note is intended to be a friendly introduction to virtual classes. We review virtual classes and we give a number of properties and applications. We also include a new virtual…
Reduced invariants from cuspidal maps
Luca Battistella, Francesca Carocci, Cristina Manolache
We consider genus 1 enumerative invariants arising from the Smyth-Viscardi moduli space of stable maps from curves with nodes and cusps. We prove that these invariants are equal to…
Stable maps and stable quotients
Cristina Manolache
We analyze the relationship between two compactifications of the moduli space of maps from curves to a Grassmannian: the Kontsevich moduli space of stable maps and the Marian--Opre…
The Quantum Lefschetz Hyperplane Principle Can Fail for Positive Orbifold Hypersurfaces
Tom Coates, Amin Gholampour, Hiroshi Iritani +3
We show that the Quantum Lefschetz Hyperplane Principle can fail for certain orbifold hypersurfaces and complete intersections. It can fail even for orbifold hypersurfaces defined…
Virtual push-forwards
Cristina Manolache
Let be a morphism of stacks of positive \emph{virtual} relative dimension and let . We give sufficient conditions for to be a mult…
Virtual pull-backs
Cristina Manolache
We propose a generalization of Gysin maps for DM-type morphisms of stacks that admit a perfect relative obstruction theory , which we call a "virtual pu…