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A characterisation of the Z^n + Zδ lattice and definite nonunimodular intersection forms
We prove a generalisation of Elkies’ characterisation of the Z^n lattice to nonunimodular definite forms (and lattices). Combined with inequalities of Frøyshov and of Ozsv ́ath and Szab ́o, this gives a simple test of whether a rational homology three-sphere may bound a definite four-manifold. As an
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