Positive Legendrian regular homotopies
Francois Laudenbach (LMJL)
TL;DR
This paper explores the existence of positive loops of Legendrian immersions, contrasting with the behavior of Legendrian embeddings, and reveals new phenomena in Legendrian regular homotopies.
Contribution
It demonstrates that positive loops of Legendrian immersions always exist, highlighting a fundamental difference from Legendrian embeddings.
Findings
Positive loops of Legendrian immersions always exist.
Contrast with Legendrian embeddings behavior.
New insights into Legendrian regular homotopies.
Abstract
In contrast with what happens for Legendrian embeddings, there always exist positive loops of Legendrian immersions.
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Taxonomy
TopicsAdvanced Topology and Set Theory · Homotopy and Cohomology in Algebraic Topology · Mathematics and Applications