4 papers · 1 filter
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…