On the conformal systoles of four-manifolds

Mathematics – Differential Geometry

Scientific paper

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6 pages, revised version; relation of main result to type of intersection form, symplectic structures and the 5/4-conjecture c

Scientific paper

10.1007/s00229-006-0043-5

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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