The Laurent norm
| dc.creator | Long, David G. | |
| dc.date | 2008-08-07 | |
| dc.date.accessioned | 2026-07-07T09:55:26Z | |
| dc.date.available | 2026-07-07T09:55:26Z | |
| dc.description | We generalize a semi-norm for the Alexander polynomial of a connected, compact, oriented 3-manifold on its first cohomology group to a semi-norm for an arbitrary Laurent polynomial f on the dual vector space to the space of exponents of f. We determine a decomposition formula for this Laurent norm; an expression for the Laurent norm for f in terms of the Laurent norms for each of the irreducible factors of f. For an n-variable polynomial f, we introduce a space of m \leq n essential variables which determine the reduced Laurent norm unit ball; a convex polyhedron of the same dimension m as the Newton polyhedron of f. In the space spanned by the essential variables, the Laurent semi-norm for polynomials with at least two terms is shown to be a norm. | |
| dc.description | 18 pages | |
| dc.identifier | https://arxiv.org/abs/0808.1058 | |
| dc.identifier | http://arxiv.org/abs/0808.1058 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/166624 | |
| dc.subject | Algebraic Topology | |
| dc.subject | 57M27(Primary) 52B99(Secondary) | |
| dc.title | The Laurent norm | |
| dc.type | text |