D Abramovich, B Fantechi - arXiv preprint arXiv:1103.5132, 2011 - arxiv.org
We give an approach for relative and degenerate Gromov--Witten invariants, inspired by that of Jun Li but replacing predeformable maps by transversal maps to a twisted target. The …
A Sheshmani - arXiv preprint arXiv:1011.6342, 2010 - arxiv.org
We introduce a higher rank analog of the Pandharipande-Thomas theory of stable pairs on a Calabi-Yau threefold $ X $. More precisely, we develop a moduli theory for frozen triples …
This thesis is composed of two parts. In the first part we introduce a higher rank analog of the Pandharipande-Thomas theory of stable pairs [28] on a Calabi-Yau threefold X. More …
We show that a perfect obstruction theory for a G _ m G m-gerbe determines a semi-perfect obstruction theory for its base, which is perfect if the gerbe is quasi-compact and affine …
F Poma - arXiv preprint arXiv:1210.2269, 2012 - arxiv.org
We define Gromov-Witten classes and invariants of smooth proper tame Deligne-Mumford stacks of finite presentation over a Dedekind domain. We prove that they are deformation …