Moduli stacks of stable toric quasimaps

作者:Ciocan Fontanine Ionut*; Kim Bumsig
来源:Advances in Mathematics, 2010, 225(6): 3022-3051.
DOI:10.1016/j.aim.2010.05.023

摘要

We construct new "virtually smooth" modular compactifications of spaces of maps from nonsingular curves to smooth projective toric varieties. They generalize Givental's compactifications, when the complex structure of the curve is allowed to vary and markings are included, and are the tonic counterpart of the moduli spaces of stable quotients introduced by Marian, Oprea, and Pandharipande to compactify spaces of maps to Grassmannians. A brief discussion of the resulting invariants and their (conjectural) relation with Gromov-Witten theory is also included.

  • 出版日期2010-12-20