[PDF][PDF] Orbifold thechniques in degeneration formulas

D Abramovich, B Fantechi - ANNALI SCUOLA NORMALE …, 2016 - journals.sns.it
We give a new 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 …

Orbifold techniques in degeneration formulas

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 …

[PDF][PDF] Virtual classes of Artin stacks

F Poma - arXiv preprint arXiv:1211.4339, 2012 - arxiv.org
arXiv:1211.4339v2 [math.AG] 6 Feb 2013 Page 1 arXiv:1211.4339v2 [math.AG] 6 Feb 2013
VIRTUAL CLASSES OF ARTIN STACKS FLAVIA POMA Abstract. We construct virtual …

Higher rank stable pairs and virtual localization

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 …

[图书][B] Towards studying of the higher rank theory of stable pairs

A Sheshmani - 2011 - search.proquest.com
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 …

Virtual classes of -gerbes

F Qu - manuscripta mathematica, 2021 - Springer
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 …

Gromov-Witten theory of tame Deligne-Mumford stacks in mixed characteristic

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 …