Derived Resolution Property for Stacks, Euler Classes and Applications
Algebraic Geometry
2010-10-07 v2
Abstract
By resolving an arbitrary perfect derived object over a Deligne-Mumford stack, we define its Euler class. We then apply it to define the Euler numbers for a smooth Calabi-Yau threefold in the 4-dimensional projective space. These numbers are conjectured to be the reduced Gromov-Witten invariants and to determine the usual Gromov-Witten numbers of the smooth quintic as speculated by J. Li and A. Zinger.
Cite
@article{arxiv.1009.5109,
title = {Derived Resolution Property for Stacks, Euler Classes and Applications},
author = {Yi Hu and Jun Li},
journal= {arXiv preprint arXiv:1009.5109},
year = {2010}
}
Comments
16 pages