Publications

BibTex format

@article{Feyzbakhsh:2023:10.46298/epiga.2023.volume7.9818,
author = {Feyzbakhsh, S and Thomas, R},
doi = {10.46298/epiga.2023.volume7.9818},
journal = {Épijournal de Géométrie Algébrique},
pages = {1--25},
title = {Curve counting and S-duality},
url = {http://dx.doi.org/10.46298/epiga.2023.volume7.9818},
volume = {7},
year = {2023}
}

Download

RIS format (EndNote, RefMan)

TY  - JOUR
AB  - We work on a projective threefold X which satisfies the Bogomolov-Gieseker conjecture of Bayer-Macrì-Toda, such as P3 or the quintic threefold. We prove certain moduli spaces of 2-dimensional torsion sheaves on X are smooth bundles over Hilbert schemes of ideal sheaves of curves and points in X. When X is Calabi-Yau this gives a simple wall crossing formula expressing curve counts (and so ultimately Gromov-Witten invariants) in terms of counts of D4-D2-D0 branes. These latter invariants are predicted to have modular properties which we discuss from the point of view of S-duality and Noether-Lefschetz theory.
AU  - Feyzbakhsh,S
AU  - Thomas,R
DO  - 10.46298/epiga.2023.volume7.9818
EP  - 25
PY  - 2023///
SN  - 2491-6765
SP  - 1
TI  - Curve counting and S-duality
T2  - Épijournal de Géométrie Algébrique
UR  - http://dx.doi.org/10.46298/epiga.2023.volume7.9818
UR  - https://epiga.episciences.org/11306
UR  - http://hdl.handle.net/10044/1/103125
VL  - 7
ER  -

Download

Professor Richard Thomas FRS

Contact

Location

Summary

Citation

BibTex format

RIS format (EndNote, RefMan)