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A characterisation of the $\mathbf{n\langle1\rangle \oplus\langle3\rangle}$ form and applications to rational homology spheres
We conjecture two generalisations of Elkies' theorem on unimodular quadratic forms to non-unimodular forms.We give some evidence for these conjectures including a result for determinant 3.These conjectures, when combined with results of Frøyshov and of Ozsváth and Szabó, would give a simple test of whether a rational homology 3-sphere may …