A characterization of the Z^n lattice

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dc.creatorElkies, Noam D.
dc.date1999-06-02
dc.date.accessioned2026-07-07T05:29:21Z
dc.date.available2026-07-07T05:29:21Z
dc.descriptionWe use theta series and modular forms to prove that Z^n is the only integral unimodular lattice of rank n without characteristic vectors of norm <n, i.e. the only integral unimodular lattice not containing a vector w such that (w,w)<n and 2|(v,v+w) for all lattice vectors v. By the work of Kronheimer and others on the Seiberg-Witten equation this yields an alternative proof of a theorem of Donaldson on the geometry of 4-manifolds.
dc.description6 pages
dc.identifierhttps://arxiv.org/abs/math/9906019
dc.identifierhttp://arxiv.org/abs/math/9906019
dc.identifierMath. Research Letters 2 (1995), 321-326
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/78605
dc.subjectNumber Theory
dc.subjectDifferential Geometry
dc.subject11H55 (Primary) 11F11, 11H06, 57R55 (Secondary)
dc.titleA characterization of the Z^n lattice
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