Vafa-Witten invariants for projective surfaces I: stable case

DOI10.1090/jag/738zbMath1460.53027arXiv1702.08487OpenAlexW2963881920WikidataQ127025954 ScholiaQ127025954MaRDI QIDQ5118879

Yuuji Tanaka, Richard P. Thomas

Publication date: 27 August 2020

Published in: Journal of Algebraic Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1702.08487

zbMATH Keywords

Euler characteristicdeformation theorymoduli spaceHiggs fieldsurfacespositive canonical bundlenested Hilbert schemes\(\operatorname{SU}(r)\) Vafa-Witten invariantsstable torsion sheavessymmetric perfect obstruction theory

Mathematics Subject Classification ID

Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects) (14N35) Special connections and metrics on vector bundles (Hermite-Einstein, Yang-Mills) (53C07) Symplectic structures of moduli spaces (53D30) Applications of vector bundles and moduli spaces in mathematical physics (twistor theory, instantons, quantum field theory) (14D21)

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