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arxiv: math/0512127 · v2 · submitted 2005-12-06 · 🧮 math.DG · math.SG

On the conformal systoles of four-manifolds

classification 🧮 math.DG math.SG
keywords four-manifoldsconformalformintersectionresultsystolesconjectureeven
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We extend a result of M. Katz on conformal systoles to all four-manifolds with b^+=1 which have odd intersection form. The same result holds for all four-manifolds with b^+=1 with even intersection form and which are symplectic or satisfy the so-called 5/4-conjecture.

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