arXiv Open Access 2024

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

Georg Oberdieck

Lihat Sumber

Abstrak

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.

Topik & Kata Kunci

math.AG

Penulis (1)

Georg Oberdieck

Format Sitasi

APA MLA BibTeX

Oberdieck, G. (2024). Towards refined curve counting on the Enriques surface I: K-theoretic refinements. https://arxiv.org/abs/2407.21318

Akses Cepat

Lihat di Sumber

Informasi Jurnal

Tahun Terbit: 2024
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓