Vafa-Witten invariants for projective surfaces I: stable case

On a polarised surface, solutions of the Vafa-Witten equations correspond to certain polystable Higgs pairs. When stability and semistability coincide, the moduli space admits a symmetric obstruction theory and a $ \mathbb{C}^*$ action with compact fixed locus. Applying virtual localisation we defin...

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Bibliographic Details
Main Authors: Tanaka, Y, Thomas, RP
Format: Journal article
Language:English
Published: American Mathematical Society 2019