Towards refined curve counting on the Enriques surface I: K-theoretic refinements

Autor:	Oberdieck, Georg
Rok vydání:	2024
Předmět:	Mathematics - Algebraic Geometry
Druh dokumentu:	Working Paper
Popis:	We conjecture an explicit formula for the $K$-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. Comment: 20 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2407.21318 Zobrazit plný text záznamu View this record from Arxiv