A characterisation of the Z^n + Z(δ) lattice and definite nonunimodular intersection forms

Simple item page
dc.creatorOwens, Brendan
dc.creatorStrle, Saso
dc.date2008-02-11
dc.date.accessioned2026-07-07T09:19:56Z
dc.date.available2026-07-07T09:19:56Z
dc.descriptionWe 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.
dc.description21 pages, 1 figure
dc.identifierhttps://arxiv.org/abs/0802.1495
dc.identifierhttp://arxiv.org/abs/0802.1495
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/154575
dc.subjectGeometric Topology
dc.subjectNumber Theory
dc.subject11H55; 57Q60; 57M27; 57R58.
dc.titleA characterisation of the Z^n + Z(δ) lattice and definite nonunimodular intersection forms
dc.typetext

Files

Collections

arXiv