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Creators/Authors contains: "Baykur, R. İnanç"

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  1. Free, publicly-accessible full text available December 1, 2025
  2. We develop techniques to construct explicit symplectic Lefschetz fibrations over the2-sphere with any prescribed signature\sigmaand any spin type when\sigmais divisible by16. This solves a long-standing conjecture on the existence of such fibrations with positive signature. As applications, we produce symplectic4-manifolds that are homeomorphic but not diffeomorphic to connected sums ofS^2 \times S^2, with the smallest topology known to date, as well as larger examples as symplectic Lefschetz fibrations. 
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