Relative Orbifold Donaldson-Thomas Theory and the Degeneration Formula
Algebraic Geometry
2017-09-11 v3
Abstract
We generalize the notion of expanded degenerations and pairs for a simple degeneration or smooth pair to the case of smooth Deligne-Mumford stacks. We then define stable quotients on the classifying stacks of expanded degenerations and pairs and prove the properness of their moduli's. On 3-dimensional smooth projective DM stacks this leads to a definition of relative Donaldson-Thomas invariants and the associated degeneration formula.
Keywords
Cite
@article{arxiv.1504.02303,
title = {Relative Orbifold Donaldson-Thomas Theory and the Degeneration Formula},
author = {Zijun Zhou},
journal= {arXiv preprint arXiv:1504.02303},
year = {2017}
}
Comments
59 pages. Final version