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On the conformal systoles of four-manifolds

M. J. D. Hamilton

math.DGarXiv:math/0512127

Abstract

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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