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arXiv · 1311.0528

Families of Legendrian Submanifolds via Generating Families

Joshua M. Sabloff·Michael G. Sullivan
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Abstract

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.

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Joshua M. Sabloff, Michael G. Sullivan. 2013-11-03. Families of Legendrian Submanifolds via Generating Families. https://arxiv.org/abs/1311.0528

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