A Partial Ordering on Slices of Planar Lagrangians

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dc.creatorEiseman, Phil
dc.creatorLima, Jonathan D.
dc.creatorSabloff, Joshua M.
dc.creatorTraynor, Lisa
dc.date2008-08-08
dc.date.accessioned2026-07-07T09:55:44Z
dc.date.available2026-07-07T09:55:44Z
dc.descriptionA collection of simple closed curves in $\rr^3$ is called a negative slice if it is the intersection of a flat-at-infinity planar Lagrangian surface and $\{y_2 = a \}$ for some $a < 0$. Examples and non-examples of negative slices are given. Embedded Lagrange cobordisms define a relation on slices and in some (and perhaps all) cases this relation defines a partial order. The set of slices is a commutative monoid and the additive structure has an interesting relationship with the ordering relation.
dc.description17 pages, 4 figures; to appear in the Arnold Volume of the Journal of Fixed Point Theory and Applications
dc.identifierhttps://arxiv.org/abs/0808.1281
dc.identifierhttp://arxiv.org/abs/0808.1281
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/166733
dc.subjectSymplectic Geometry
dc.subject53D12; 58F05
dc.titleA Partial Ordering on Slices of Planar Lagrangians
dc.typetext

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