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- W2883876197 abstract "Let L be a nonunimodular definite lattice, L∗ its dual lattice, and λ the discriminant form on L∗∕L. Using a theorem of Elkies we show that whether L embeds in the standard definite lattice of the same rank is completely determined by a collection of lattice correction terms, one for each metabolizing subgroup of (L∗∕L, λ). As a topological application this gives a rephrasing of the obstruction for a rational homology 3-sphere to bound a rational homology 4-ball coming from Donaldson’s theorem on definite intersection forms of 4-manifolds. Furthermore, from this perspective it is easy to see that if the obstruction to bounding a rational homology ball coming from Heegaard Floer correction terms vanishes, then (under some mild hypotheses) the obstruction from Donaldson’s theorem vanishes too." @default.
- W2883876197 created "2018-08-03" @default.
- W2883876197 creator A5009741234 @default.
- W2883876197 date "2021-01-01" @default.
- W2883876197 modified "2023-09-23" @default.
- W2883876197 title "Lattices and Correction Terms" @default.
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- W2883876197 doi "https://doi.org/10.1007/978-3-030-61958-9_11" @default.
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