A characterisation of the Z^n + Z(\delta) lattice and definite nonunimodular intersection forms
Geometric Topology
2008-02-12 v1 Number Theory
Abstract
We prove a generalisation of Elkies' theorem to nonunimodular definite forms (and lattices). Combined with inequalities of Froyshov and of Ozsvath and Szabo, this gives a simple test of whether a rational homology 3-sphere may bound a definite four-manifold. As an example we show that small positive surgeries on torus knots do not bound negative-definite four-manifolds.
Keywords
Cite
@article{arxiv.0802.1495,
title = {A characterisation of the Z^n + Z(\delta) lattice and definite nonunimodular intersection forms},
author = {Brendan Owens and Saso Strle},
journal= {arXiv preprint arXiv:0802.1495},
year = {2008}
}
Comments
21 pages, 1 figure