On the conformal systoles of four-manifolds
Differential Geometry
2009-07-16 v2 Symplectic Geometry
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.
Keywords
Cite
@article{arxiv.math/0512127,
title = {On the conformal systoles of four-manifolds},
author = {M. J. D. Hamilton},
journal= {arXiv preprint arXiv:math/0512127},
year = {2009}
}
Comments
6 pages, revised version; relation of main result to type of intersection form, symplectic structures and the 5/4-conjecture clarified; to appear in manuscripta mathematica