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Research Report MRR00-028
Intersecting Legendrians and blow-ups
Andrew Hassell and András Vasy
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 by
one of us [2] by analogy with intersecting Legendrian distributions of
Melrose and Uhlmann, and Legendre distrubutions associated to a fibred
scattering structure introduced by the authors in [3]. We prove a general
result, and also give an example in two dimensions, which shows explicitly
the relation between the two spaces in a simple setting.
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