Counting twisted sheaves and S-duality
نویسندگان
چکیده
We suggest a construction of Tanaka-Thomas's Vafa-Witten invariants for étale gerbes over smooth projective surface using the moduli space μr-gerbe twisted sheaves and Higgs sheaves. Twisted their are naturally used to study period-index theorem corresponding in Brauer group surface. Deformation obstruction theory behave like general define virtual fundamental class localization Behrend function techniques. As an application, Langlands dual SU(r)/Zr SU(r) we SU(r)/Zr-Vafa-Witten invariants. prove S-duality conjecture plane case rank two K3 prime ranks.
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ژورنال
عنوان ژورنال: Advances in Mathematics
سال: 2022
ISSN: ['1857-8365', '1857-8438']
DOI: https://doi.org/10.1016/j.aim.2022.108332