Intersecting Legendrians and blow-ups
Description
The purpose of this note is to describe the relationship between two classes of Legendre distributions. These two classes are distributions associated to an intersecting pair of Legendre submanifolds, introduced in [2] by analogy with intersecting Lagrangian distributions of Melrose and Uhlmann [8], and Legendre distributions associated to a fibred scattering structure introduced in [3]. We prove that, given appropriate symbolic orders, the first class is a proper subset of the second. We also...[Show more]
dc.contributor.author | Hassell, Andrew | |
---|---|---|
dc.contributor.author | Vasy, Andras | |
dc.date.accessioned | 2015-12-13T23:27:39Z | |
dc.date.available | 2015-12-13T23:27:39Z | |
dc.identifier.issn | 1073-2780 | |
dc.identifier.uri | http://hdl.handle.net/1885/93309 | |
dc.description.abstract | The purpose of this note is to describe the relationship between two classes of Legendre distributions. These two classes are distributions associated to an intersecting pair of Legendre submanifolds, introduced in [2] by analogy with intersecting Lagrangian distributions of Melrose and Uhlmann [8], and Legendre distributions associated to a fibred scattering structure introduced in [3]. We prove that, given appropriate symbolic orders, the first class is a proper subset of the second. We also give an example in two dimensions, which shows explicitly the relation between the two spaces in a simple setting. | |
dc.publisher | International Press | |
dc.source | Mathematical Research Letters | |
dc.title | Intersecting Legendrians and blow-ups | |
dc.type | Journal article | |
local.description.notes | Imported from ARIES | |
local.description.refereed | Yes | |
local.identifier.citationvolume | 8 | |
dc.date.issued | 2001 | |
local.identifier.absfor | 010110 - Partial Differential Equations | |
local.identifier.ariespublication | MigratedxPub26725 | |
local.type.status | Published Version | |
local.contributor.affiliation | Hassell, Andrew, College of Physical and Mathematical Sciences, ANU | |
local.contributor.affiliation | Vasy, Andras, Massachusetts Institute of Technology | |
local.bibliographicCitation.startpage | 413 | |
local.bibliographicCitation.lastpage | 428 | |
dc.date.updated | 2015-12-12T09:51:00Z | |
local.identifier.scopusID | 2-s2.0-0035539217 | |
Collections | ANU Research Publications |
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