Defines virtual cycles for 3-term complexes via blow-up modifications of the complex and applies them to Hilbert schemes of surfaces to strengthen known results on reduced and virtual cycles.
Poincare invariants are Seiberg-Witten invariants
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abstract
We prove a conjecture of Durr, Kabanov and Okonek which provides an algebro-geometric theory of Seiberg-Witten invariants for all smooth projective surfaces. Our main technique is the cosection localization principle of virtual cycles.
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math.AG 1years
2026 1verdicts
UNVERDICTED 1representative citing papers
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Virtual cycles of 3-term complexes and the Hilbert schemes of surfaces
Defines virtual cycles for 3-term complexes via blow-up modifications of the complex and applies them to Hilbert schemes of surfaces to strengthen known results on reduced and virtual cycles.