Vertical Vafa-Witten invariants
Algebraic Geometry
2019-06-05 v1
Abstract
We show that \emph{vertical} contributions to (possibly semistable) Tanaka-Thomas-Vafa-Witten invariants are well defined for surfaces with , partially proving conjectures of \cite{TT2} and \cite{T}. Moreover, we show that such contributions are computed by the same tautological integrals as in the stable case, which we studied in \cite{L}. Using the work of Kiem and Li, we show that stability of universal families of vertical Joyce-Song pairs is controlled by cosections of the obstruction sheaves of such families.
Cite
@article{arxiv.1906.01264,
title = {Vertical Vafa-Witten invariants},
author = {Pieter Ties Allerd Laarakker},
journal= {arXiv preprint arXiv:1906.01264},
year = {2019}
}
Comments
22 pages