Skip navigation
Skip navigation

Intersecting Legendrians and blow-ups

Hassell, Andrew; Vasy, Andras

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.authorHassell, Andrew
dc.contributor.authorVasy, Andras
dc.date.accessioned2015-12-13T23:27:39Z
dc.date.available2015-12-13T23:27:39Z
dc.identifier.issn1073-2780
dc.identifier.urihttp://hdl.handle.net/1885/93309
dc.description.abstractThe 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.publisherInternational Press
dc.sourceMathematical Research Letters
dc.titleIntersecting Legendrians and blow-ups
dc.typeJournal article
local.description.notesImported from ARIES
local.description.refereedYes
local.identifier.citationvolume8
dc.date.issued2001
local.identifier.absfor010110 - Partial Differential Equations
local.identifier.ariespublicationMigratedxPub26725
local.type.statusPublished Version
local.contributor.affiliationHassell, Andrew, College of Physical and Mathematical Sciences, ANU
local.contributor.affiliationVasy, Andras, Massachusetts Institute of Technology
local.bibliographicCitation.startpage413
local.bibliographicCitation.lastpage428
dc.date.updated2015-12-12T09:51:00Z
local.identifier.scopusID2-s2.0-0035539217
CollectionsANU Research Publications

Download

There are no files associated with this item.


Items in Open Research are protected by copyright, with all rights reserved, unless otherwise indicated.

Updated:  19 May 2020/ Responsible Officer:  University Librarian/ Page Contact:  Library Systems & Web Coordinator