The Moduli of Sections Has a Canonical Obstruction Theory

Abstract

We give a detailed proof that locally Noetherian moduli stacks of sections carry canonical obstruction theories. As part of the argument we construct a dualizing sheaf and trace map, in the lisse-etale topology, for families of tame twisted curves, when the base stack is locally Noetherian.

References in corpus (3)

• Gromov-Witten invariants of stable maps with fields
• Virtual cycles of stable (quasi)-maps with fields
• Abelianization and Quantum Lefschetz for Orbifold Quasimap $I$-Functions