首页|Families of Legendrian Submanifolds via Generating Families
Families of Legendrian Submanifolds via Generating Families
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Arxiv
We investigate families of Legendrian submanifolds of 1-jet spaces by
developing and applying a theory of families of generating family homologies.
This theory allows us to detect an infinite family of loops of Legendrian
n-spheres embedded in the standard contact (2n+1)-space (for n>1) that are
contractible in the smooth, but not Legendrian, categories.