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Superconformal simple type and Witten's conjecture

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Abstract Let X be a smooth, closed, connected, orientable four-manifold with b 1 ( X ) = 0 and b + ( X ) ≥ 3 and odd. We show… Click to show full abstract

Abstract Let X be a smooth, closed, connected, orientable four-manifold with b 1 ( X ) = 0 and b + ( X ) ≥ 3 and odd. We show that if X has Seiberg–Witten simple type, then the SO ( 3 ) -monopole cobordism formula of [14] implies Witten's Conjecture relating the Donaldson and Seiberg–Witten invariants.

Keywords: witten conjecture; superconformal simple; simple type; type witten

Journal Title: Advances in Mathematics
Year Published: 2019

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