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On the conformal systoles of four-manifolds
Authors:M J D Hamilton
Institution:1. Mathematisches Institut, Ludwig-Maximilians-Universit?t München, Theresienstr. 39, 80333, München, Germany
Abstract:We extend a result of M. Katz on conformal systoles to all four-manifolds with $$b_2^+=1$$ which have odd intersection form. The same result holds for all four-manifolds with $$b_2^+=1$$ with even intersection form and which are symplectic or satisfy the so-called $$\frac{5}{4}$$-conjecture.
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