Derived Resolution Property for Stacks, Euler Classes and Applications

Details Derived Resolution Property for Stacks, Euler Classes and Applications Derived Resolution Property for Stacks, Euler Classes and Applications

2010-09-26

arxiv.org/abs/1009.5109v2

Mathematics

Algebraic Geometry

16 pages

Scientific paper

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.

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