Towards refined curve counting on the Enriques surface I: K-theoretic refinements
Algebraic Geometry
2024-08-01 v1
Abstract
We conjecture an explicit formula for the -theoretically refined Vafa-Witten invariants of the Enriques surface. By a wall-crossing argument the conjecture is equivalent to a new conjectural formula for the K-theoretically refined Pandharipande-Thomas invariants of the local Enriques surface. Evidence for the conjecture is given in several cases. We also comment on the case of K3 surfaces previously studied by Thomas.
Keywords
Cite
@article{arxiv.2407.21318,
title = {Towards refined curve counting on the Enriques surface I: K-theoretic refinements},
author = {Georg Oberdieck},
journal= {arXiv preprint arXiv:2407.21318},
year = {2024}
}
Comments
20 pages